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Simplifying -3(-5v + 9) + -5v = 4(v + -6) + -6 Reorder the terms: -3(9 + -5v) + -5v = 4(v + -6) + -6 (9 * -3 + -5v * -3) + -5v = 4(v + -6) + -6 (-27 + 15v) + -5v = 4(v + -6) + -6 Combine like terms: 15v + -5v = 10v -27 + 10v = 4(v + -6) + -6 Reorder the terms: -27 + 10v = 4(-6 + v) + -6 -27 + 10v = (-6 * 4 + v * 4) + -6 -27 + 10v = (-24 + 4v) + -6 Reorder the terms: -27 + 10v = -24 + -6 + 4v Combine like terms: -24 + -6 = -30 -27 + 10v = -30 + 4v Solving -27 + 10v = -30 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -27 + 10v + -4v = -30 + 4v + -4v Combine like terms: 10v + -4v = 6v -27 + 6v = -30 + 4v + -4v Combine like terms: 4v + -4v = 0 -27 + 6v = -30 + 0 -27 + 6v = -30 Add '27' to each side of the equation. -27 + 27 + 6v = -30 + 27 Combine like terms: -27 + 27 = 0 0 + 6v = -30 + 27 6v = -30 + 27 Combine like terms: -30 + 27 = -3 6v = -3 Divide each side by '6'. v = -0.5 Simplifying v = -0.5
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