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Simplifying 5(v + 1) = 9v + 13 Reorder the terms: 5(1 + v) = 9v + 13 (1 * 5 + v * 5) = 9v + 13 (5 + 5v) = 9v + 13 Reorder the terms: 5 + 5v = 13 + 9v Solving 5 + 5v = 13 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 5 + 5v + -9v = 13 + 9v + -9v Combine like terms: 5v + -9v = -4v 5 + -4v = 13 + 9v + -9v Combine like terms: 9v + -9v = 0 5 + -4v = 13 + 0 5 + -4v = 13 Add '-5' to each side of the equation. 5 + -5 + -4v = 13 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 13 + -5 -4v = 13 + -5 Combine like terms: 13 + -5 = 8 -4v = 8 Divide each side by '-4'. v = -2 Simplifying v = -2
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