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Simplifying -3(v + -6) = 7v + -12 Reorder the terms: -3(-6 + v) = 7v + -12 (-6 * -3 + v * -3) = 7v + -12 (18 + -3v) = 7v + -12 Reorder the terms: 18 + -3v = -12 + 7v Solving 18 + -3v = -12 + 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. 18 + -3v + -7v = -12 + 7v + -7v Combine like terms: -3v + -7v = -10v 18 + -10v = -12 + 7v + -7v Combine like terms: 7v + -7v = 0 18 + -10v = -12 + 0 18 + -10v = -12 Add '-18' to each side of the equation. 18 + -18 + -10v = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -10v = -12 + -18 -10v = -12 + -18 Combine like terms: -12 + -18 = -30 -10v = -30 Divide each side by '-10'. v = 3 Simplifying v = 3
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