2 (3a - 4) - 2 (4a + 3) simplify
2 (a + 4) = 4 (a - 3)solve the equation
Any help would be appreciated, I am still learning. Thanks!
2 (3a - 4) - 2 (4a + 3) simplify
6a-8-8a-6, now combine like terms: -2a-14
2 (a + 4) = 4 (a - 3)solve the equation
2a+8=4a-12, 8=2a-12, 20=2a, a=10
Thank you for your help!
To simplify the expression 2(3a - 4) - 2(4a + 3), you need to apply the distributive property and combine like terms.
Let's break it down step by step:
Step 1: Distribute the 2 to terms inside the parentheses.
2(3a - 4) - 2(4a + 3) becomes 6a - 8 - 8a - 6.
Step 2: Combine like terms.
Combine the terms with 'a' and the constant terms separately.
6a - 8 - 8a - 6 becomes (6a - 8a) + (-8 - 6) which simplifies to -2a - 14.
Therefore, the simplified expression is -2a - 14.
Moving on to the equation 2(a + 4) = 4(a - 3), let's solve it step by step:
Step 1: Distribute the 2 and the 4 to the terms inside the parentheses.
2(a + 4) = 4(a - 3) becomes 2a + 8 = 4a - 12.
Step 2: Move all the 'a' terms to one side and the constant terms to the other side.
Subtract 2a from both sides and subtract 8 from both sides:
2a + 8 - 2a - 8 = 4a - 12 - 2a - 8.
This simplifies to 0 = 2a - 20.
Step 3: Isolate the 'a' term. To do this, subtract 2a from both sides:
0 - 2a = 2a - 20 - 2a.
This simplifies to -2a = -20.
Step 4: Solve for 'a'. Divide both sides of the equation by -2:
(-2a)/(-2) = (-20)/(-2).
Thus, a = 10.
Therefore, the solution to the equation is a = 10.