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Simplifying 4(v + -3) = 6v + -18 Reorder the terms: 4(-3 + v) = 6v + -18 (-3 * 4 + v * 4) = 6v + -18 (-12 + 4v) = 6v + -18 Reorder the terms: -12 + 4v = -18 + 6v Solving -12 + 4v = -18 + 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 = -18 + 6v + -6v Combine like terms: 4v + -6v = -2v -12 + -2v = -18 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + -2v = -18 + 0 -12 + -2v = -18 Add '12' to each side of the equation. -12 + 12 + -2v = -18 + 12 Combine like terms: -12 + 12 = 0 0 + -2v = -18 + 12 -2v = -18 + 12 Combine like terms: -18 + 12 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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