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Simplifying 4(v + 1) = 9v + 31 Reorder the terms: 4(1 + v) = 9v + 31 (1 * 4 + v * 4) = 9v + 31 (4 + 4v) = 9v + 31 Reorder the terms: 4 + 4v = 31 + 9v Solving 4 + 4v = 31 + 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. 4 + 4v + -9v = 31 + 9v + -9v Combine like terms: 4v + -9v = -5v 4 + -5v = 31 + 9v + -9v Combine like terms: 9v + -9v = 0 4 + -5v = 31 + 0 4 + -5v = 31 Add '-4' to each side of the equation. 4 + -4 + -5v = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -5v = 31 + -4 -5v = 31 + -4 Combine like terms: 31 + -4 = 27 -5v = 27 Divide each side by '-5'. v = -5.4 Simplifying v = -5.4
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