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Simplifying -3(v + -1) = 4v + 45 Reorder the terms: -3(-1 + v) = 4v + 45 (-1 * -3 + v * -3) = 4v + 45 (3 + -3v) = 4v + 45 Reorder the terms: 3 + -3v = 45 + 4v Solving 3 + -3v = 45 + 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. 3 + -3v + -4v = 45 + 4v + -4v Combine like terms: -3v + -4v = -7v 3 + -7v = 45 + 4v + -4v Combine like terms: 4v + -4v = 0 3 + -7v = 45 + 0 3 + -7v = 45 Add '-3' to each side of the equation. 3 + -3 + -7v = 45 + -3 Combine like terms: 3 + -3 = 0 0 + -7v = 45 + -3 -7v = 45 + -3 Combine like terms: 45 + -3 = 42 -7v = 42 Divide each side by '-7'. v = -6 Simplifying v = -6
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