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Simplifying -156 = 5 + -7(2v + 7) Reorder the terms: -156 = 5 + -7(7 + 2v) -156 = 5 + (7 * -7 + 2v * -7) -156 = 5 + (-49 + -14v) Combine like terms: 5 + -49 = -44 -156 = -44 + -14v Solving -156 = -44 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -156 + 14v = -44 + -14v + 14v Combine like terms: -14v + 14v = 0 -156 + 14v = -44 + 0 -156 + 14v = -44 Add '156' to each side of the equation. -156 + 156 + 14v = -44 + 156 Combine like terms: -156 + 156 = 0 0 + 14v = -44 + 156 14v = -44 + 156 Combine like terms: -44 + 156 = 112 14v = 112 Divide each side by '14'. v = 8 Simplifying v = 8
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