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Simplifying -15v + 9(-2v + 2) = -10 + -19v Reorder the terms: -15v + 9(2 + -2v) = -10 + -19v -15v + (2 * 9 + -2v * 9) = -10 + -19v -15v + (18 + -18v) = -10 + -19v Reorder the terms: 18 + -15v + -18v = -10 + -19v Combine like terms: -15v + -18v = -33v 18 + -33v = -10 + -19v Solving 18 + -33v = -10 + -19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '19v' to each side of the equation. 18 + -33v + 19v = -10 + -19v + 19v Combine like terms: -33v + 19v = -14v 18 + -14v = -10 + -19v + 19v Combine like terms: -19v + 19v = 0 18 + -14v = -10 + 0 18 + -14v = -10 Add '-18' to each side of the equation. 18 + -18 + -14v = -10 + -18 Combine like terms: 18 + -18 = 0 0 + -14v = -10 + -18 -14v = -10 + -18 Combine like terms: -10 + -18 = -28 -14v = -28 Divide each side by '-14'. v = 2 Simplifying v = 2
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