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Simplifying v + -9 = -7(v + -1) Reorder the terms: -9 + v = -7(v + -1) Reorder the terms: -9 + v = -7(-1 + v) -9 + v = (-1 * -7 + v * -7) -9 + v = (7 + -7v) Solving -9 + v = 7 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -9 + v + 7v = 7 + -7v + 7v Combine like terms: v + 7v = 8v -9 + 8v = 7 + -7v + 7v Combine like terms: -7v + 7v = 0 -9 + 8v = 7 + 0 -9 + 8v = 7 Add '9' to each side of the equation. -9 + 9 + 8v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 8v = 7 + 9 8v = 7 + 9 Combine like terms: 7 + 9 = 16 8v = 16 Divide each side by '8'. v = 2 Simplifying v = 2
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