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Simplifying 4(v + -8) + -5 = -3(-7v + 9) + -9v Reorder the terms: 4(-8 + v) + -5 = -3(-7v + 9) + -9v (-8 * 4 + v * 4) + -5 = -3(-7v + 9) + -9v (-32 + 4v) + -5 = -3(-7v + 9) + -9v Reorder the terms: -32 + -5 + 4v = -3(-7v + 9) + -9v Combine like terms: -32 + -5 = -37 -37 + 4v = -3(-7v + 9) + -9v Reorder the terms: -37 + 4v = -3(9 + -7v) + -9v -37 + 4v = (9 * -3 + -7v * -3) + -9v -37 + 4v = (-27 + 21v) + -9v Combine like terms: 21v + -9v = 12v -37 + 4v = -27 + 12v Solving -37 + 4v = -27 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -37 + 4v + -12v = -27 + 12v + -12v Combine like terms: 4v + -12v = -8v -37 + -8v = -27 + 12v + -12v Combine like terms: 12v + -12v = 0 -37 + -8v = -27 + 0 -37 + -8v = -27 Add '37' to each side of the equation. -37 + 37 + -8v = -27 + 37 Combine like terms: -37 + 37 = 0 0 + -8v = -27 + 37 -8v = -27 + 37 Combine like terms: -27 + 37 = 10 -8v = 10 Divide each side by '-8'. v = -1.25 Simplifying v = -1.25
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