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Simplifying -9v + 32 = 5(v + -1) Reorder the terms: 32 + -9v = 5(v + -1) Reorder the terms: 32 + -9v = 5(-1 + v) 32 + -9v = (-1 * 5 + v * 5) 32 + -9v = (-5 + 5v) Solving 32 + -9v = -5 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 32 + -9v + -5v = -5 + 5v + -5v Combine like terms: -9v + -5v = -14v 32 + -14v = -5 + 5v + -5v Combine like terms: 5v + -5v = 0 32 + -14v = -5 + 0 32 + -14v = -5 Add '-32' to each side of the equation. 32 + -32 + -14v = -5 + -32 Combine like terms: 32 + -32 = 0 0 + -14v = -5 + -32 -14v = -5 + -32 Combine like terms: -5 + -32 = -37 -14v = -37 Divide each side by '-14'. v = 2.642857143 Simplifying v = 2.642857143
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