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Simplifying -9(v + 3) = -4v + -42 Reorder the terms: -9(3 + v) = -4v + -42 (3 * -9 + v * -9) = -4v + -42 (-27 + -9v) = -4v + -42 Reorder the terms: -27 + -9v = -42 + -4v Solving -27 + -9v = -42 + -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. -27 + -9v + 4v = -42 + -4v + 4v Combine like terms: -9v + 4v = -5v -27 + -5v = -42 + -4v + 4v Combine like terms: -4v + 4v = 0 -27 + -5v = -42 + 0 -27 + -5v = -42 Add '27' to each side of the equation. -27 + 27 + -5v = -42 + 27 Combine like terms: -27 + 27 = 0 0 + -5v = -42 + 27 -5v = -42 + 27 Combine like terms: -42 + 27 = -15 -5v = -15 Divide each side by '-5'. v = 3 Simplifying v = 3
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