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Simplifying -1v + -1v = 8(1 + -8v) + -8(-7v + -2) Combine like terms: -1v + -1v = -2v -2v = 8(1 + -8v) + -8(-7v + -2) -2v = (1 * 8 + -8v * 8) + -8(-7v + -2) -2v = (8 + -64v) + -8(-7v + -2) Reorder the terms: -2v = 8 + -64v + -8(-2 + -7v) -2v = 8 + -64v + (-2 * -8 + -7v * -8) -2v = 8 + -64v + (16 + 56v) Reorder the terms: -2v = 8 + 16 + -64v + 56v Combine like terms: 8 + 16 = 24 -2v = 24 + -64v + 56v Combine like terms: -64v + 56v = -8v -2v = 24 + -8v Solving -2v = 24 + -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. -2v + 8v = 24 + -8v + 8v Combine like terms: -2v + 8v = 6v 6v = 24 + -8v + 8v Combine like terms: -8v + 8v = 0 6v = 24 + 0 6v = 24 Divide each side by '6'. v = 4 Simplifying v = 4
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