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Simplifying -10(7v + 7) = -1(1 + 12v) + -11 Reorder the terms: -10(7 + 7v) = -1(1 + 12v) + -11 (7 * -10 + 7v * -10) = -1(1 + 12v) + -11 (-70 + -70v) = -1(1 + 12v) + -11 -70 + -70v = (1 * -1 + 12v * -1) + -11 -70 + -70v = (-1 + -12v) + -11 Reorder the terms: -70 + -70v = -1 + -11 + -12v Combine like terms: -1 + -11 = -12 -70 + -70v = -12 + -12v Solving -70 + -70v = -12 + -12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12v' to each side of the equation. -70 + -70v + 12v = -12 + -12v + 12v Combine like terms: -70v + 12v = -58v -70 + -58v = -12 + -12v + 12v Combine like terms: -12v + 12v = 0 -70 + -58v = -12 + 0 -70 + -58v = -12 Add '70' to each side of the equation. -70 + 70 + -58v = -12 + 70 Combine like terms: -70 + 70 = 0 0 + -58v = -12 + 70 -58v = -12 + 70 Combine like terms: -12 + 70 = 58 -58v = 58 Divide each side by '-58'. v = -1 Simplifying v = -1
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