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Simplifying 6v + -12 = 8(v + 1) Reorder the terms: -12 + 6v = 8(v + 1) Reorder the terms: -12 + 6v = 8(1 + v) -12 + 6v = (1 * 8 + v * 8) -12 + 6v = (8 + 8v) Solving -12 + 6v = 8 + 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 = 8 + 8v + -8v Combine like terms: 6v + -8v = -2v -12 + -2v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -12 + -2v = 8 + 0 -12 + -2v = 8 Add '12' to each side of the equation. -12 + 12 + -2v = 8 + 12 Combine like terms: -12 + 12 = 0 0 + -2v = 8 + 12 -2v = 8 + 12 Combine like terms: 8 + 12 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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