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Simplifying 12(v + -1) = -7(v + -10) Reorder the terms: 12(-1 + v) = -7(v + -10) (-1 * 12 + v * 12) = -7(v + -10) (-12 + 12v) = -7(v + -10) Reorder the terms: -12 + 12v = -7(-10 + v) -12 + 12v = (-10 * -7 + v * -7) -12 + 12v = (70 + -7v) Solving -12 + 12v = 70 + -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. -12 + 12v + 7v = 70 + -7v + 7v Combine like terms: 12v + 7v = 19v -12 + 19v = 70 + -7v + 7v Combine like terms: -7v + 7v = 0 -12 + 19v = 70 + 0 -12 + 19v = 70 Add '12' to each side of the equation. -12 + 12 + 19v = 70 + 12 Combine like terms: -12 + 12 = 0 0 + 19v = 70 + 12 19v = 70 + 12 Combine like terms: 70 + 12 = 82 19v = 82 Divide each side by '19'. v = 4.315789474 Simplifying v = 4.315789474
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