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Simplifying 6(v + -4) + -9 = -3(-3v + 5) + -7v Reorder the terms: 6(-4 + v) + -9 = -3(-3v + 5) + -7v (-4 * 6 + v * 6) + -9 = -3(-3v + 5) + -7v (-24 + 6v) + -9 = -3(-3v + 5) + -7v Reorder the terms: -24 + -9 + 6v = -3(-3v + 5) + -7v Combine like terms: -24 + -9 = -33 -33 + 6v = -3(-3v + 5) + -7v Reorder the terms: -33 + 6v = -3(5 + -3v) + -7v -33 + 6v = (5 * -3 + -3v * -3) + -7v -33 + 6v = (-15 + 9v) + -7v Combine like terms: 9v + -7v = 2v -33 + 6v = -15 + 2v Solving -33 + 6v = -15 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -33 + 6v + -2v = -15 + 2v + -2v Combine like terms: 6v + -2v = 4v -33 + 4v = -15 + 2v + -2v Combine like terms: 2v + -2v = 0 -33 + 4v = -15 + 0 -33 + 4v = -15 Add '33' to each side of the equation. -33 + 33 + 4v = -15 + 33 Combine like terms: -33 + 33 = 0 0 + 4v = -15 + 33 4v = -15 + 33 Combine like terms: -15 + 33 = 18 4v = 18 Divide each side by '4'. v = 4.5 Simplifying v = 4.5
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