Simplify
18. -(-4)+3=
Solve equations of the form x+a=b
solve
26. 6.3=t+2.9
30. -8=14+(d+-6)
32. 312.9+163.4+b
34. - 11/5+w=-4/5
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To simplify the expression -(-4) + 3, you can follow these steps:
Step 1: Simplify the expression within the parentheses by removing the double negative. In this case, -(-4) simplifies to 4.
Step 2: Add the result from step 1 (4) to 3. 4 + 3 equals 7.
So, the simplified expression is 7.
Now, let's solve the equations of the form x + a = b.
For equation 6.3 = t + 2.9:
Step 1: Isolate the variable t by subtracting 2.9 from both sides. 6.3 - 2.9 = t.
Step 2: Perform the calculation. 6.3 - 2.9 equals 3.4.
So, t = 3.4.
For equation -8 = 14 + (d + -6):
Step 1: Simplify the parentheses by combining -6 and d into d - 6. -8 = 14 + d - 6.
Step 2: Simplify the right side of the equation. 14 - 6 equals 8.
Step 3: Move 8 to the other side of the equation by subtracting it from both sides. -8 - 8 = d.
Step 4: Perform the calculation. -16 equals d.
So, d = -16.
For equation 312.9 + 163.4 = b:
Step 1: Add the two numbers on the left side of the equation. 312.9 + 163.4 equals 476.3.
So, b = 476.3.
For equation -11/5 + w = -4/5:
Step 1: Move the fraction -11/5 to the other side of the equation by subtracting it from both sides. -11/5 - (-11/5) + w = -4/5 - (-11/5).
Step 2: Simplify the left side of the equation. -11/5 - (-11/5) simplifies to 0, so the equation becomes 0 + w = -4/5 - (-11/5).
Step 3: Simplify the right side of the equation. -4/5 - (-11/5) equals 7/5.
Step 4: Move 7/5 to the other side of the equation by subtracting it from both sides. 0 + w - 7/5 = -4/5 - 7/5.
Step 5: Simplify the right side of the equation. -4/5 - 7/5 equals -11/5.
Step 6: Simplify the left side of the equation. 0 + w - 7/5 simplifies to w - 7/5.
So, w - 7/5 = -11/5.
Step 7: Move -7/5 to the other side of the equation by adding it to both sides. w - 7/5 + 7/5 = -11/5 + 7/5.
Step 8: Simplify the right side of the equation. -11/5 + 7/5 equals -4/5.
Step 9: Simplify the left side of the equation. w - 7/5 + 7/5 simplifies to w.
So, w = -4/5.