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Simplifying 3(v + -7) + -6 = -4(-5v + 6) + -5v Reorder the terms: 3(-7 + v) + -6 = -4(-5v + 6) + -5v (-7 * 3 + v * 3) + -6 = -4(-5v + 6) + -5v (-21 + 3v) + -6 = -4(-5v + 6) + -5v Reorder the terms: -21 + -6 + 3v = -4(-5v + 6) + -5v Combine like terms: -21 + -6 = -27 -27 + 3v = -4(-5v + 6) + -5v Reorder the terms: -27 + 3v = -4(6 + -5v) + -5v -27 + 3v = (6 * -4 + -5v * -4) + -5v -27 + 3v = (-24 + 20v) + -5v Combine like terms: 20v + -5v = 15v -27 + 3v = -24 + 15v Solving -27 + 3v = -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. -27 + 3v + -15v = -24 + 15v + -15v Combine like terms: 3v + -15v = -12v -27 + -12v = -24 + 15v + -15v Combine like terms: 15v + -15v = 0 -27 + -12v = -24 + 0 -27 + -12v = -24 Add '27' to each side of the equation. -27 + 27 + -12v = -24 + 27 Combine like terms: -27 + 27 = 0 0 + -12v = -24 + 27 -12v = -24 + 27 Combine like terms: -24 + 27 = 3 -12v = 3 Divide each side by '-12'. v = -0.25 Simplifying v = -0.25
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