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