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Simplifying 4(v + -5) + -2 = -2(-9v + 5) + -5v Reorder the terms: 4(-5 + v) + -2 = -2(-9v + 5) + -5v (-5 * 4 + v * 4) + -2 = -2(-9v + 5) + -5v (-20 + 4v) + -2 = -2(-9v + 5) + -5v Reorder the terms: -20 + -2 + 4v = -2(-9v + 5) + -5v Combine like terms: -20 + -2 = -22 -22 + 4v = -2(-9v + 5) + -5v Reorder the terms: -22 + 4v = -2(5 + -9v) + -5v -22 + 4v = (5 * -2 + -9v * -2) + -5v -22 + 4v = (-10 + 18v) + -5v Combine like terms: 18v + -5v = 13v -22 + 4v = -10 + 13v Solving -22 + 4v = -10 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -22 + 4v + -13v = -10 + 13v + -13v Combine like terms: 4v + -13v = -9v -22 + -9v = -10 + 13v + -13v Combine like terms: 13v + -13v = 0 -22 + -9v = -10 + 0 -22 + -9v = -10 Add '22' to each side of the equation. -22 + 22 + -9v = -10 + 22 Combine like terms: -22 + 22 = 0 0 + -9v = -10 + 22 -9v = -10 + 22 Combine like terms: -10 + 22 = 12 -9v = 12 Divide each side by '-9'. v = -1.333333333 Simplifying v = -1.333333333
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