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Simplifying 9(v + -4) + -7v = 5(3v + -2) Reorder the terms: 9(-4 + v) + -7v = 5(3v + -2) (-4 * 9 + v * 9) + -7v = 5(3v + -2) (-36 + 9v) + -7v = 5(3v + -2) Combine like terms: 9v + -7v = 2v -36 + 2v = 5(3v + -2) Reorder the terms: -36 + 2v = 5(-2 + 3v) -36 + 2v = (-2 * 5 + 3v * 5) -36 + 2v = (-10 + 15v) Solving -36 + 2v = -10 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -36 + 2v + -15v = -10 + 15v + -15v Combine like terms: 2v + -15v = -13v -36 + -13v = -10 + 15v + -15v Combine like terms: 15v + -15v = 0 -36 + -13v = -10 + 0 -36 + -13v = -10 Add '36' to each side of the equation. -36 + 36 + -13v = -10 + 36 Combine like terms: -36 + 36 = 0 0 + -13v = -10 + 36 -13v = -10 + 36 Combine like terms: -10 + 36 = 26 -13v = 26 Divide each side by '-13'. v = -2 Simplifying v = -2
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