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Simplifying 2(v + 1) = 7v + -43 Reorder the terms: 2(1 + v) = 7v + -43 (1 * 2 + v * 2) = 7v + -43 (2 + 2v) = 7v + -43 Reorder the terms: 2 + 2v = -43 + 7v Solving 2 + 2v = -43 + 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 = -43 + 7v + -7v Combine like terms: 2v + -7v = -5v 2 + -5v = -43 + 7v + -7v Combine like terms: 7v + -7v = 0 2 + -5v = -43 + 0 2 + -5v = -43 Add '-2' to each side of the equation. 2 + -2 + -5v = -43 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = -43 + -2 -5v = -43 + -2 Combine like terms: -43 + -2 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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