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Simplifying 3(v + -9) + -5 = -5(-4 + 6) + -3v Reorder the terms: 3(-9 + v) + -5 = -5(-4 + 6) + -3v (-9 * 3 + v * 3) + -5 = -5(-4 + 6) + -3v (-27 + 3v) + -5 = -5(-4 + 6) + -3v Reorder the terms: -27 + -5 + 3v = -5(-4 + 6) + -3v Combine like terms: -27 + -5 = -32 -32 + 3v = -5(-4 + 6) + -3v Combine like terms: -4 + 6 = 2 -32 + 3v = -5(2) + -3v Multiply -5 * 2 -32 + 3v = -10 + -3v Solving -32 + 3v = -10 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -32 + 3v + 3v = -10 + -3v + 3v Combine like terms: 3v + 3v = 6v -32 + 6v = -10 + -3v + 3v Combine like terms: -3v + 3v = 0 -32 + 6v = -10 + 0 -32 + 6v = -10 Add '32' to each side of the equation. -32 + 32 + 6v = -10 + 32 Combine like terms: -32 + 32 = 0 0 + 6v = -10 + 32 6v = -10 + 32 Combine like terms: -10 + 32 = 22 6v = 22 Divide each side by '6'. v = 3.666666667 Simplifying v = 3.666666667
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