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Simplifying 7v + -7 = -8(v + -1) Reorder the terms: -7 + 7v = -8(v + -1) Reorder the terms: -7 + 7v = -8(-1 + v) -7 + 7v = (-1 * -8 + v * -8) -7 + 7v = (8 + -8v) Solving -7 + 7v = 8 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -7 + 7v + 8v = 8 + -8v + 8v Combine like terms: 7v + 8v = 15v -7 + 15v = 8 + -8v + 8v Combine like terms: -8v + 8v = 0 -7 + 15v = 8 + 0 -7 + 15v = 8 Add '7' to each side of the equation. -7 + 7 + 15v = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 15v = 8 + 7 15v = 8 + 7 Combine like terms: 8 + 7 = 15 15v = 15 Divide each side by '15'. v = 1 Simplifying v = 1
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