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Simplifying -15 = 4(v + -6) + -7v Reorder the terms: -15 = 4(-6 + v) + -7v -15 = (-6 * 4 + v * 4) + -7v -15 = (-24 + 4v) + -7v Combine like terms: 4v + -7v = -3v -15 = -24 + -3v Solving -15 = -24 + -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 = -24 + -3v + 3v Combine like terms: -3v + 3v = 0 -15 + 3v = -24 + 0 -15 + 3v = -24 Add '15' to each side of the equation. -15 + 15 + 3v = -24 + 15 Combine like terms: -15 + 15 = 0 0 + 3v = -24 + 15 3v = -24 + 15 Combine like terms: -24 + 15 = -9 3v = -9 Divide each side by '3'. v = -3 Simplifying v = -3
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