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Simplifying 18 + -2v = -5(7v + 3) Reorder the terms: 18 + -2v = -5(3 + 7v) 18 + -2v = (3 * -5 + 7v * -5) 18 + -2v = (-15 + -35v) Solving 18 + -2v = -15 + -35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35v' to each side of the equation. 18 + -2v + 35v = -15 + -35v + 35v Combine like terms: -2v + 35v = 33v 18 + 33v = -15 + -35v + 35v Combine like terms: -35v + 35v = 0 18 + 33v = -15 + 0 18 + 33v = -15 Add '-18' to each side of the equation. 18 + -18 + 33v = -15 + -18 Combine like terms: 18 + -18 = 0 0 + 33v = -15 + -18 33v = -15 + -18 Combine like terms: -15 + -18 = -33 33v = -33 Divide each side by '33'. v = -1 Simplifying v = -1
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