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Simplifying -48 = 6(v + 12) Reorder the terms: -48 = 6(12 + v) -48 = (12 * 6 + v * 6) -48 = (72 + 6v) Solving -48 = 72 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -48 + -6v = 72 + 6v + -6v Combine like terms: 6v + -6v = 0 -48 + -6v = 72 + 0 -48 + -6v = 72 Add '48' to each side of the equation. -48 + 48 + -6v = 72 + 48 Combine like terms: -48 + 48 = 0 0 + -6v = 72 + 48 -6v = 72 + 48 Combine like terms: 72 + 48 = 120 -6v = 120 Divide each side by '-6'. v = -20 Simplifying v = -20
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