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Simplifying -3(v + -5) = 4v + 43 Reorder the terms: -3(-5 + v) = 4v + 43 (-5 * -3 + v * -3) = 4v + 43 (15 + -3v) = 4v + 43 Reorder the terms: 15 + -3v = 43 + 4v Solving 15 + -3v = 43 + 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. 15 + -3v + -4v = 43 + 4v + -4v Combine like terms: -3v + -4v = -7v 15 + -7v = 43 + 4v + -4v Combine like terms: 4v + -4v = 0 15 + -7v = 43 + 0 15 + -7v = 43 Add '-15' to each side of the equation. 15 + -15 + -7v = 43 + -15 Combine like terms: 15 + -15 = 0 0 + -7v = 43 + -15 -7v = 43 + -15 Combine like terms: 43 + -15 = 28 -7v = 28 Divide each side by '-7'. v = -4 Simplifying v = -4
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