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Simplifying 9(-2v + 6) = 17b + 2(v + -10) Reorder the terms: 9(6 + -2v) = 17b + 2(v + -10) (6 * 9 + -2v * 9) = 17b + 2(v + -10) (54 + -18v) = 17b + 2(v + -10) Reorder the terms: 54 + -18v = 17b + 2(-10 + v) 54 + -18v = 17b + (-10 * 2 + v * 2) 54 + -18v = 17b + (-20 + 2v) Reorder the terms: 54 + -18v = -20 + 17b + 2v Solving 54 + -18v = -20 + 17b + 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. 54 + -18v + -2v = -20 + 17b + 2v + -2v Combine like terms: -18v + -2v = -20v 54 + -20v = -20 + 17b + 2v + -2v Combine like terms: 2v + -2v = 0 54 + -20v = -20 + 17b + 0 54 + -20v = -20 + 17b Add '-54' to each side of the equation. 54 + -54 + -20v = -20 + -54 + 17b Combine like terms: 54 + -54 = 0 0 + -20v = -20 + -54 + 17b -20v = -20 + -54 + 17b Combine like terms: -20 + -54 = -74 -20v = -74 + 17b Divide each side by '-20'. v = 3.7 + -0.85b Simplifying v = 3.7 + -0.85b
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