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Simplifying 5(v + -3) + -7v = 9 Reorder the terms: 5(-3 + v) + -7v = 9 (-3 * 5 + v * 5) + -7v = 9 (-15 + 5v) + -7v = 9 Combine like terms: 5v + -7v = -2v -15 + -2v = 9 Solving -15 + -2v = 9 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2v = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -2v = 9 + 15 -2v = 9 + 15 Combine like terms: 9 + 15 = 24 -2v = 24 Divide each side by '-2'. v = -12 Simplifying v = -12
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