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Simplifying -4v + 12 = 6(v + -8) Reorder the terms: 12 + -4v = 6(v + -8) Reorder the terms: 12 + -4v = 6(-8 + v) 12 + -4v = (-8 * 6 + v * 6) 12 + -4v = (-48 + 6v) Solving 12 + -4v = -48 + 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. 12 + -4v + -6v = -48 + 6v + -6v Combine like terms: -4v + -6v = -10v 12 + -10v = -48 + 6v + -6v Combine like terms: 6v + -6v = 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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