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Simplifying 8v + 48 = 2(v + -6) Reorder the terms: 48 + 8v = 2(v + -6) Reorder the terms: 48 + 8v = 2(-6 + v) 48 + 8v = (-6 * 2 + v * 2) 48 + 8v = (-12 + 2v) Solving 48 + 8v = -12 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 48 + 8v + -2v = -12 + 2v + -2v Combine like terms: 8v + -2v = 6v 48 + 6v = -12 + 2v + -2v Combine like terms: 2v + -2v = 0 48 + 6v = -12 + 0 48 + 6v = -12 Add '-48' to each side of the equation. 48 + -48 + 6v = -12 + -48 Combine like terms: 48 + -48 = 0 0 + 6v = -12 + -48 6v = -12 + -48 Combine like terms: -12 + -48 = -60 6v = -60 Divide each side by '6'. v = -10 Simplifying v = -10
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