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Simplifying 15 + -4v = -8(7v + 9) Reorder the terms: 15 + -4v = -8(9 + 7v) 15 + -4v = (9 * -8 + 7v * -8) 15 + -4v = (-72 + -56v) Solving 15 + -4v = -72 + -56v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '56v' to each side of the equation. 15 + -4v + 56v = -72 + -56v + 56v Combine like terms: -4v + 56v = 52v 15 + 52v = -72 + -56v + 56v Combine like terms: -56v + 56v = 0 15 + 52v = -72 + 0 15 + 52v = -72 Add '-15' to each side of the equation. 15 + -15 + 52v = -72 + -15 Combine like terms: 15 + -15 = 0 0 + 52v = -72 + -15 52v = -72 + -15 Combine like terms: -72 + -15 = -87 52v = -87 Divide each side by '52'. v = -1.673076923 Simplifying v = -1.673076923
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