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Simplifying 5(v + -1) + -3 = -4(-5v + 6) + -5v Reorder the terms: 5(-1 + v) + -3 = -4(-5v + 6) + -5v (-1 * 5 + v * 5) + -3 = -4(-5v + 6) + -5v (-5 + 5v) + -3 = -4(-5v + 6) + -5v Reorder the terms: -5 + -3 + 5v = -4(-5v + 6) + -5v Combine like terms: -5 + -3 = -8 -8 + 5v = -4(-5v + 6) + -5v Reorder the terms: -8 + 5v = -4(6 + -5v) + -5v -8 + 5v = (6 * -4 + -5v * -4) + -5v -8 + 5v = (-24 + 20v) + -5v Combine like terms: 20v + -5v = 15v -8 + 5v = -24 + 15v Solving -8 + 5v = -24 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -8 + 5v + -15v = -24 + 15v + -15v Combine like terms: 5v + -15v = -10v -8 + -10v = -24 + 15v + -15v Combine like terms: 15v + -15v = 0 -8 + -10v = -24 + 0 -8 + -10v = -24 Add '8' to each side of the equation. -8 + 8 + -10v = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -10v = -24 + 8 -10v = -24 + 8 Combine like terms: -24 + 8 = -16 -10v = -16 Divide each side by '-10'. v = 1.6 Simplifying v = 1.6
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