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Simplifying 12 + 8v = 5(3v + -6) Reorder the terms: 12 + 8v = 5(-6 + 3v) 12 + 8v = (-6 * 5 + 3v * 5) 12 + 8v = (-30 + 15v) Solving 12 + 8v = -30 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 12 + 8v + -15v = -30 + 15v + -15v Combine like terms: 8v + -15v = -7v 12 + -7v = -30 + 15v + -15v Combine like terms: 15v + -15v = 0 12 + -7v = -30 + 0 12 + -7v = -30 Add '-12' to each side of the equation. 12 + -12 + -7v = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -7v = -30 + -12 -7v = -30 + -12 Combine like terms: -30 + -12 = -42 -7v = -42 Divide each side by '-7'. v = 6 Simplifying v = 6
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