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Simplifying -15 = 6(v + -3) + -3v Reorder the terms: -15 = 6(-3 + v) + -3v -15 = (-3 * 6 + v * 6) + -3v -15 = (-18 + 6v) + -3v Combine like terms: 6v + -3v = 3v -15 = -18 + 3v Solving -15 = -18 + 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. -15 + -3v = -18 + 3v + -3v Combine like terms: 3v + -3v = 0 -15 + -3v = -18 + 0 -15 + -3v = -18 Add '15' to each side of the equation. -15 + 15 + -3v = -18 + 15 Combine like terms: -15 + 15 = 0 0 + -3v = -18 + 15 -3v = -18 + 15 Combine like terms: -18 + 15 = -3 -3v = -3 Divide each side by '-3'. v = 1 Simplifying v = 1
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