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Simplifying -3(v + 2) = 4v + 15 Reorder the terms: -3(2 + v) = 4v + 15 (2 * -3 + v * -3) = 4v + 15 (-6 + -3v) = 4v + 15 Reorder the terms: -6 + -3v = 15 + 4v Solving -6 + -3v = 15 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -6 + -3v + -4v = 15 + 4v + -4v Combine like terms: -3v + -4v = -7v -6 + -7v = 15 + 4v + -4v Combine like terms: 4v + -4v = 0 -6 + -7v = 15 + 0 -6 + -7v = 15 Add '6' to each side of the equation. -6 + 6 + -7v = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -7v = 15 + 6 -7v = 15 + 6 Combine like terms: 15 + 6 = 21 -7v = 21 Divide each side by '-7'. v = -3 Simplifying v = -3
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