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Simplifying 5(v + -5) + -8 = -3(-6v + 5) + -5v Reorder the terms: 5(-5 + v) + -8 = -3(-6v + 5) + -5v (-5 * 5 + v * 5) + -8 = -3(-6v + 5) + -5v (-25 + 5v) + -8 = -3(-6v + 5) + -5v Reorder the terms: -25 + -8 + 5v = -3(-6v + 5) + -5v Combine like terms: -25 + -8 = -33 -33 + 5v = -3(-6v + 5) + -5v Reorder the terms: -33 + 5v = -3(5 + -6v) + -5v -33 + 5v = (5 * -3 + -6v * -3) + -5v -33 + 5v = (-15 + 18v) + -5v Combine like terms: 18v + -5v = 13v -33 + 5v = -15 + 13v Solving -33 + 5v = -15 + 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. -33 + 5v + -13v = -15 + 13v + -13v Combine like terms: 5v + -13v = -8v -33 + -8v = -15 + 13v + -13v Combine like terms: 13v + -13v = 0 -33 + -8v = -15 + 0 -33 + -8v = -15 Add '33' to each side of the equation. -33 + 33 + -8v = -15 + 33 Combine like terms: -33 + 33 = 0 0 + -8v = -15 + 33 -8v = -15 + 33 Combine like terms: -15 + 33 = 18 -8v = 18 Divide each side by '-8'. v = -2.25 Simplifying v = -2.25
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