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Simplifying 6(v + -5) + -8 = -5(-3v + 4) + -5v Reorder the terms: 6(-5 + v) + -8 = -5(-3v + 4) + -5v (-5 * 6 + v * 6) + -8 = -5(-3v + 4) + -5v (-30 + 6v) + -8 = -5(-3v + 4) + -5v Reorder the terms: -30 + -8 + 6v = -5(-3v + 4) + -5v Combine like terms: -30 + -8 = -38 -38 + 6v = -5(-3v + 4) + -5v Reorder the terms: -38 + 6v = -5(4 + -3v) + -5v -38 + 6v = (4 * -5 + -3v * -5) + -5v -38 + 6v = (-20 + 15v) + -5v Combine like terms: 15v + -5v = 10v -38 + 6v = -20 + 10v Solving -38 + 6v = -20 + 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. -38 + 6v + -10v = -20 + 10v + -10v Combine like terms: 6v + -10v = -4v -38 + -4v = -20 + 10v + -10v Combine like terms: 10v + -10v = 0 -38 + -4v = -20 + 0 -38 + -4v = -20 Add '38' to each side of the equation. -38 + 38 + -4v = -20 + 38 Combine like terms: -38 + 38 = 0 0 + -4v = -20 + 38 -4v = -20 + 38 Combine like terms: -20 + 38 = 18 -4v = 18 Divide each side by '-4'. v = -4.5 Simplifying v = -4.5
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