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Simplifying 3v + -12 = -7(v + 6) Reorder the terms: -12 + 3v = -7(v + 6) Reorder the terms: -12 + 3v = -7(6 + v) -12 + 3v = (6 * -7 + v * -7) -12 + 3v = (-42 + -7v) Solving -12 + 3v = -42 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -12 + 3v + 7v = -42 + -7v + 7v Combine like terms: 3v + 7v = 10v -12 + 10v = -42 + -7v + 7v Combine like terms: -7v + 7v = 0 -12 + 10v = -42 + 0 -12 + 10v = -42 Add '12' to each side of the equation. -12 + 12 + 10v = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 10v = -42 + 12 10v = -42 + 12 Combine like terms: -42 + 12 = -30 10v = -30 Divide each side by '10'. v = -3 Simplifying v = -3
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