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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 = -13v -4 + -13v = 31 + 9v + -9v Combine like terms: 9v + -9v = 0 -4 + -13v = 31 + 0 -4 + -13v = 31 Add '4' to each side of the equation. -4 + 4 + -13v = 31 + 4 Combine like terms: -4 + 4 = 0 0 + -13v = 31 + 4 -13v = 31 + 4 Combine like terms: 31 + 4 = 35 -13v = 35 Divide each side by '-13'. v = -2.692307692 Simplifying v = -2.692307692
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