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Simplifying 3(4 + -4v) + 8 = -15 + -7v (4 * 3 + -4v * 3) + 8 = -15 + -7v (12 + -12v) + 8 = -15 + -7v Reorder the terms: 12 + 8 + -12v = -15 + -7v Combine like terms: 12 + 8 = 20 20 + -12v = -15 + -7v Solving 20 + -12v = -15 + -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. 20 + -12v + 7v = -15 + -7v + 7v Combine like terms: -12v + 7v = -5v 20 + -5v = -15 + -7v + 7v Combine like terms: -7v + 7v = 0 20 + -5v = -15 + 0 20 + -5v = -15 Add '-20' to each side of the equation. 20 + -20 + -5v = -15 + -20 Combine like terms: 20 + -20 = 0 0 + -5v = -15 + -20 -5v = -15 + -20 Combine like terms: -15 + -20 = -35 -5v = -35 Divide each side by '-5'. v = 7 Simplifying v = 7
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