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Simplifying 15 = 3(v + -7) Reorder the terms: 15 = 3(-7 + v) 15 = (-7 * 3 + v * 3) 15 = (-21 + 3v) Solving 15 = -21 + 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 = -21 + 3v + -3v Combine like terms: 3v + -3v = 0 15 + -3v = -21 + 0 15 + -3v = -21 Add '-15' to each side of the equation. 15 + -15 + -3v = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -3v = -21 + -15 -3v = -21 + -15 Combine like terms: -21 + -15 = -36 -3v = -36 Divide each side by '-3'. v = 12 Simplifying v = 12
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