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Simplifying -8 + 5(-7v + 8) = -6v + 32 Reorder the terms: -8 + 5(8 + -7v) = -6v + 32 -8 + (8 * 5 + -7v * 5) = -6v + 32 -8 + (40 + -35v) = -6v + 32 Combine like terms: -8 + 40 = 32 32 + -35v = -6v + 32 Reorder the terms: 32 + -35v = 32 + -6v Add '-32' to each side of the equation. 32 + -32 + -35v = 32 + -32 + -6v Combine like terms: 32 + -32 = 0 0 + -35v = 32 + -32 + -6v -35v = 32 + -32 + -6v Combine like terms: 32 + -32 = 0 -35v = 0 + -6v -35v = -6v Solving -35v = -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -35v + 6v = -6v + 6v Combine like terms: -35v + 6v = -29v -29v = -6v + 6v Combine like terms: -6v + 6v = 0 -29v = 0 Divide each side by '-29'. v = 0 Simplifying v = 0
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