What value will make the equation 3m+54−3m4=−2
true?
To determine the value that would make the equation true, we will solve it.
3m + 54 - 3m/4 = -2
Combining like terms on the left side:
(3m - 3m/4) + 54 = -2
Multiplying all terms by 4 to get rid of the fraction:
4(3m) - 4(3m/4) + 4(54) = 4(-2)
12m - 3m + 216 = -8
Combining like terms on the left side:
9m + 216 = -8
Subtracting 216 from both sides:
9m = -8 - 216
9m = -224
Dividing both sides by 9:
m = -224/9
So, the value that would make the equation true is m = -224/9.
To find the value that makes the equation true, solve for m step-by-step:
Step 1: First, combine like terms on the left side of the equation:
3m - 3m/4 + 54 = -2
Step 2: Combine the simplified terms on the left side of the equation:
(3m - 3m/4) + 54 = -2
Step 3: Simplify the terms on the left side of the equation further:
(12m/4 - 3m/4) + 54 = -2
Step 4: Combine the fractions on the left side of the equation:
(12m - 3m) / 4 + 54 = -2
Step 5: Combine the like terms on the left side of the equation:
9m / 4 + 54 = -2
Step 6: To isolate the variable m, subtract 54 from both sides of the equation:
9m / 4 = -2 - 54
Step 7: Simplify the right side of the equation:
9m / 4 = -56
Step 8: To further isolate the variable m, multiply both sides of the equation by 4:
4 * (9m / 4) = 4 * -56
Step 9: Simplify the left side of the equation:
9m = -224
Step 10: Finally, isolate m by dividing both sides of the equation by 9:
9m / 9 = -224 / 9
Step 11: Simplify the right side of the equation:
m = -224/9
Therefore, the value that makes the equation true is m = -224/9.