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