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Simplifying -8v + 7v = -2(v + 8) + -5(v + -2) Combine like terms: -8v + 7v = -1v -1v = -2(v + 8) + -5(v + -2) Reorder the terms: -1v = -2(8 + v) + -5(v + -2) -1v = (8 * -2 + v * -2) + -5(v + -2) -1v = (-16 + -2v) + -5(v + -2) Reorder the terms: -1v = -16 + -2v + -5(-2 + v) -1v = -16 + -2v + (-2 * -5 + v * -5) -1v = -16 + -2v + (10 + -5v) Reorder the terms: -1v = -16 + 10 + -2v + -5v Combine like terms: -16 + 10 = -6 -1v = -6 + -2v + -5v Combine like terms: -2v + -5v = -7v -1v = -6 + -7v Solving -1v = -6 + -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. -1v + 7v = -6 + -7v + 7v Combine like terms: -1v + 7v = 6v 6v = -6 + -7v + 7v Combine like terms: -7v + 7v = 0 6v = -6 + 0 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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