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10. $-5v + 8 = 2(1 - 7v) + 11$ $x=3$

Question

  1. $-5v + 8 = 2(1 - 7v) + 11$

$x=3$

Explanation:

Step1: Expand right-hand side

$-5v + 8 = 2 - 14v + 11$

Step2: Simplify right-hand side constants

$-5v + 8 = 13 - 14v$

Step3: Add $14v$ to both sides

$9v + 8 = 13$

Step4: Subtract 8 from both sides

$9v = 5$

Step5: Divide by 9

$v = \frac{5}{9}$

Answer:

$v = \frac{5}{9}$