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Simplifying 6(v + -4) + -9 = -3(-8v + 8) + -3v Reorder the terms: 6(-4 + v) + -9 = -3(-8v + 8) + -3v (-4 * 6 + v * 6) + -9 = -3(-8v + 8) + -3v (-24 + 6v) + -9 = -3(-8v + 8) + -3v Reorder the terms: -24 + -9 + 6v = -3(-8v + 8) + -3v Combine like terms: -24 + -9 = -33 -33 + 6v = -3(-8v + 8) + -3v Reorder the terms: -33 + 6v = -3(8 + -8v) + -3v -33 + 6v = (8 * -3 + -8v * -3) + -3v -33 + 6v = (-24 + 24v) + -3v Combine like terms: 24v + -3v = 21v -33 + 6v = -24 + 21v Solving -33 + 6v = -24 + 21v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-21v' to each side of the equation. -33 + 6v + -21v = -24 + 21v + -21v Combine like terms: 6v + -21v = -15v -33 + -15v = -24 + 21v + -21v Combine like terms: 21v + -21v = 0 -33 + -15v = -24 + 0 -33 + -15v = -24 Add '33' to each side of the equation. -33 + 33 + -15v = -24 + 33 Combine like terms: -33 + 33 = 0 0 + -15v = -24 + 33 -15v = -24 + 33 Combine like terms: -24 + 33 = 9 -15v = 9 Divide each side by '-15'. v = -0.6 Simplifying v = -0.6
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