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