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Simplifying 6v + -12 = 8(v + -2) Reorder the terms: -12 + 6v = 8(v + -2) Reorder the terms: -12 + 6v = 8(-2 + v) -12 + 6v = (-2 * 8 + v * 8) -12 + 6v = (-16 + 8v) Solving -12 + 6v = -16 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -12 + 6v + -8v = -16 + 8v + -8v Combine like terms: 6v + -8v = -2v -12 + -2v = -16 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -2v = -16 + 0 -12 + -2v = -16 Add '12' to each side of the equation. -12 + 12 + -2v = -16 + 12 Combine like terms: -12 + 12 = 0 0 + -2v = -16 + 12 -2v = -16 + 12 Combine like terms: -16 + 12 = -4 -2v = -4 Divide each side by '-2'. v = 2 Simplifying v = 2
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