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Simplifying 5(v + -6) = 7v + -12 Reorder the terms: 5(-6 + v) = 7v + -12 (-6 * 5 + v * 5) = 7v + -12 (-30 + 5v) = 7v + -12 Reorder the terms: -30 + 5v = -12 + 7v Solving -30 + 5v = -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. -30 + 5v + -7v = -12 + 7v + -7v Combine like terms: 5v + -7v = -2v -30 + -2v = -12 + 7v + -7v Combine like terms: 7v + -7v = 0 -30 + -2v = -12 + 0 -30 + -2v = -12 Add '30' to each side of the equation. -30 + 30 + -2v = -12 + 30 Combine like terms: -30 + 30 = 0 0 + -2v = -12 + 30 -2v = -12 + 30 Combine like terms: -12 + 30 = 18 -2v = 18 Divide each side by '-2'. v = -9 Simplifying v = -9
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