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Simplifying 450 = 8(v + 12) + -10v Reorder the terms: 450 = 8(12 + v) + -10v 450 = (12 * 8 + v * 8) + -10v 450 = (96 + 8v) + -10v Combine like terms: 8v + -10v = -2v 450 = 96 + -2v Solving 450 = 96 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 450 + 2v = 96 + -2v + 2v Combine like terms: -2v + 2v = 0 450 + 2v = 96 + 0 450 + 2v = 96 Add '-450' to each side of the equation. 450 + -450 + 2v = 96 + -450 Combine like terms: 450 + -450 = 0 0 + 2v = 96 + -450 2v = 96 + -450 Combine like terms: 96 + -450 = -354 2v = -354 Divide each side by '2'. v = -177 Simplifying v = -177
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