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QuestionSolve the equation: 2(−7a+6)=−16−7a2(-7a + 6) = -16 - 7a.

Studdy Solution

STEP 1

Assumptions1. The equation is (−7a+6)=−16−7a(-7 a+6)=-16-7 a . We are solving for the variable aa

STEP 2

First, we need to distribute the2 on the left side of the equation.
2(−7a+6)=2×−7a+2×62(-7 a+6) =2 \times -7a +2 \times6

STEP 3

Calculate the distributed values.
−14a+12=−16−7a-14a +12 = -16 -7a

STEP 4

Now, we need to isolate the variable aa on one side of the equation. We can do this by adding 7a7a to both sides of the equation.
−14a+7a+12=−16−7a+7a-14a +7a +12 = -16 -7a +7a

STEP 5

implify the equation.
−7a+12=−16-7a +12 = -16

STEP 6

Next, we need to isolate aa by subtracting12 from both sides of the equation.
−a+12−12=−16−12-a +12 -12 = -16 -12

STEP 7

implify the equation.
−7a=−28-7a = -28

STEP 8

Finally, we can solve for aa by dividing both sides of the equation by -7.
a=−28−7a = \frac{-28}{-7}

STEP 9

Calculate the value of aa.
a=4a =4So, the solution to the equation 2(−7a+6)=−16−7a2(-7 a+6)=-16-7 a is a=4a =4.

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