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Simplifying 5(v + -8) + -6 = -4(-5v + 9) + -7 Reorder the terms: 5(-8 + v) + -6 = -4(-5v + 9) + -7 (-8 * 5 + v * 5) + -6 = -4(-5v + 9) + -7 (-40 + 5v) + -6 = -4(-5v + 9) + -7 Reorder the terms: -40 + -6 + 5v = -4(-5v + 9) + -7 Combine like terms: -40 + -6 = -46 -46 + 5v = -4(-5v + 9) + -7 Reorder the terms: -46 + 5v = -4(9 + -5v) + -7 -46 + 5v = (9 * -4 + -5v * -4) + -7 -46 + 5v = (-36 + 20v) + -7 Reorder the terms: -46 + 5v = -36 + -7 + 20v Combine like terms: -36 + -7 = -43 -46 + 5v = -43 + 20v Solving -46 + 5v = -43 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -46 + 5v + -20v = -43 + 20v + -20v Combine like terms: 5v + -20v = -15v -46 + -15v = -43 + 20v + -20v Combine like terms: 20v + -20v = 0 -46 + -15v = -43 + 0 -46 + -15v = -43 Add '46' to each side of the equation. -46 + 46 + -15v = -43 + 46 Combine like terms: -46 + 46 = 0 0 + -15v = -43 + 46 -15v = -43 + 46 Combine like terms: -43 + 46 = 3 -15v = 3 Divide each side by '-15'. v = -0.2 Simplifying v = -0.2
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