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Simplifying 18 = 4(v + -3) + -7v Reorder the terms: 18 = 4(-3 + v) + -7v 18 = (-3 * 4 + v * 4) + -7v 18 = (-12 + 4v) + -7v Combine like terms: 4v + -7v = -3v 18 = -12 + -3v Solving 18 = -12 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 18 + 3v = -12 + -3v + 3v Combine like terms: -3v + 3v = 0 18 + 3v = -12 + 0 18 + 3v = -12 Add '-18' to each side of the equation. 18 + -18 + 3v = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 3v = -12 + -18 3v = -12 + -18 Combine like terms: -12 + -18 = -30 3v = -30 Divide each side by '3'. v = -10 Simplifying v = -10
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