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Simplifying -9(71v + -85) = -70v + 8(-84v + 57) Reorder the terms: -9(-85 + 71v) = -70v + 8(-84v + 57) (-85 * -9 + 71v * -9) = -70v + 8(-84v + 57) (765 + -639v) = -70v + 8(-84v + 57) Reorder the terms: 765 + -639v = -70v + 8(57 + -84v) 765 + -639v = -70v + (57 * 8 + -84v * 8) 765 + -639v = -70v + (456 + -672v) Reorder the terms: 765 + -639v = 456 + -70v + -672v Combine like terms: -70v + -672v = -742v 765 + -639v = 456 + -742v Solving 765 + -639v = 456 + -742v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '742v' to each side of the equation. 765 + -639v + 742v = 456 + -742v + 742v Combine like terms: -639v + 742v = 103v 765 + 103v = 456 + -742v + 742v Combine like terms: -742v + 742v = 0 765 + 103v = 456 + 0 765 + 103v = 456 Add '-765' to each side of the equation. 765 + -765 + 103v = 456 + -765 Combine like terms: 765 + -765 = 0 0 + 103v = 456 + -765 103v = 456 + -765 Combine like terms: 456 + -765 = -309 103v = -309 Divide each side by '103'. v = -3 Simplifying v = -3
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