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Simplifying -2(v + 6) = 7v + -3 Reorder the terms: -2(6 + v) = 7v + -3 (6 * -2 + v * -2) = 7v + -3 (-12 + -2v) = 7v + -3 Reorder the terms: -12 + -2v = -3 + 7v Solving -12 + -2v = -3 + 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 + -2v + -7v = -3 + 7v + -7v Combine like terms: -2v + -7v = -9v -12 + -9v = -3 + 7v + -7v Combine like terms: 7v + -7v = 0 -12 + -9v = -3 + 0 -12 + -9v = -3 Add '12' to each side of the equation. -12 + 12 + -9v = -3 + 12 Combine like terms: -12 + 12 = 0 0 + -9v = -3 + 12 -9v = -3 + 12 Combine like terms: -3 + 12 = 9 -9v = 9 Divide each side by '-9'. v = -1 Simplifying v = -1
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