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Simplifying 4(v + -6) + -6 = -4(-6v + 9) + -5v Reorder the terms: 4(-6 + v) + -6 = -4(-6v + 9) + -5v (-6 * 4 + v * 4) + -6 = -4(-6v + 9) + -5v (-24 + 4v) + -6 = -4(-6v + 9) + -5v Reorder the terms: -24 + -6 + 4v = -4(-6v + 9) + -5v Combine like terms: -24 + -6 = -30 -30 + 4v = -4(-6v + 9) + -5v Reorder the terms: -30 + 4v = -4(9 + -6v) + -5v -30 + 4v = (9 * -4 + -6v * -4) + -5v -30 + 4v = (-36 + 24v) + -5v Combine like terms: 24v + -5v = 19v -30 + 4v = -36 + 19v Solving -30 + 4v = -36 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -30 + 4v + -19v = -36 + 19v + -19v Combine like terms: 4v + -19v = -15v -30 + -15v = -36 + 19v + -19v Combine like terms: 19v + -19v = 0 -30 + -15v = -36 + 0 -30 + -15v = -36 Add '30' to each side of the equation. -30 + 30 + -15v = -36 + 30 Combine like terms: -30 + 30 = 0 0 + -15v = -36 + 30 -15v = -36 + 30 Combine like terms: -36 + 30 = -6 -15v = -6 Divide each side by '-15'. v = 0.4 Simplifying v = 0.4
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