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Simplifying -2(v + 1) = -7v + -42 Reorder the terms: -2(1 + v) = -7v + -42 (1 * -2 + v * -2) = -7v + -42 (-2 + -2v) = -7v + -42 Reorder the terms: -2 + -2v = -42 + -7v Solving -2 + -2v = -42 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -2 + -2v + 7v = -42 + -7v + 7v Combine like terms: -2v + 7v = 5v -2 + 5v = -42 + -7v + 7v Combine like terms: -7v + 7v = 0 -2 + 5v = -42 + 0 -2 + 5v = -42 Add '2' to each side of the equation. -2 + 2 + 5v = -42 + 2 Combine like terms: -2 + 2 = 0 0 + 5v = -42 + 2 5v = -42 + 2 Combine like terms: -42 + 2 = -40 5v = -40 Divide each side by '5'. v = -8 Simplifying v = -8
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