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Simplifying 4(v + -3) + -6 = -2(v + 6) Reorder the terms: 4(-3 + v) + -6 = -2(v + 6) (-3 * 4 + v * 4) + -6 = -2(v + 6) (-12 + 4v) + -6 = -2(v + 6) Reorder the terms: -12 + -6 + 4v = -2(v + 6) Combine like terms: -12 + -6 = -18 -18 + 4v = -2(v + 6) Reorder the terms: -18 + 4v = -2(6 + v) -18 + 4v = (6 * -2 + v * -2) -18 + 4v = (-12 + -2v) Solving -18 + 4v = -12 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. -18 + 4v + 2v = -12 + -2v + 2v Combine like terms: 4v + 2v = 6v -18 + 6v = -12 + -2v + 2v Combine like terms: -2v + 2v = 0 -18 + 6v = -12 + 0 -18 + 6v = -12 Add '18' to each side of the equation. -18 + 18 + 6v = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 6v = -12 + 18 6v = -12 + 18 Combine like terms: -12 + 18 = 6 6v = 6 Divide each side by '6'. v = 1 Simplifying v = 1
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