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Simplifying 5(v + -9) + -9 = -4(-6v + 9) + -7v Reorder the terms: 5(-9 + v) + -9 = -4(-6v + 9) + -7v (-9 * 5 + v * 5) + -9 = -4(-6v + 9) + -7v (-45 + 5v) + -9 = -4(-6v + 9) + -7v Reorder the terms: -45 + -9 + 5v = -4(-6v + 9) + -7v Combine like terms: -45 + -9 = -54 -54 + 5v = -4(-6v + 9) + -7v Reorder the terms: -54 + 5v = -4(9 + -6v) + -7v -54 + 5v = (9 * -4 + -6v * -4) + -7v -54 + 5v = (-36 + 24v) + -7v Combine like terms: 24v + -7v = 17v -54 + 5v = -36 + 17v Solving -54 + 5v = -36 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -54 + 5v + -17v = -36 + 17v + -17v Combine like terms: 5v + -17v = -12v -54 + -12v = -36 + 17v + -17v Combine like terms: 17v + -17v = 0 -54 + -12v = -36 + 0 -54 + -12v = -36 Add '54' to each side of the equation. -54 + 54 + -12v = -36 + 54 Combine like terms: -54 + 54 = 0 0 + -12v = -36 + 54 -12v = -36 + 54 Combine like terms: -36 + 54 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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