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Simplifying 5v + -37 = 9(v + -1) Reorder the terms: -37 + 5v = 9(v + -1) Reorder the terms: -37 + 5v = 9(-1 + v) -37 + 5v = (-1 * 9 + v * 9) -37 + 5v = (-9 + 9v) Solving -37 + 5v = -9 + 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. -37 + 5v + -9v = -9 + 9v + -9v Combine like terms: 5v + -9v = -4v -37 + -4v = -9 + 9v + -9v Combine like terms: 9v + -9v = 0 -37 + -4v = -9 + 0 -37 + -4v = -9 Add '37' to each side of the equation. -37 + 37 + -4v = -9 + 37 Combine like terms: -37 + 37 = 0 0 + -4v = -9 + 37 -4v = -9 + 37 Combine like terms: -9 + 37 = 28 -4v = 28 Divide each side by '-4'. v = -7 Simplifying v = -7
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