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Simplifying -20 + 2(14b + -13) = -2(-9b + -17) Reorder the terms: -20 + 2(-13 + 14b) = -2(-9b + -17) -20 + (-13 * 2 + 14b * 2) = -2(-9b + -17) -20 + (-26 + 28b) = -2(-9b + -17) Combine like terms: -20 + -26 = -46 -46 + 28b = -2(-9b + -17) Reorder the terms: -46 + 28b = -2(-17 + -9b) -46 + 28b = (-17 * -2 + -9b * -2) -46 + 28b = (34 + 18b) Solving -46 + 28b = 34 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -46 + 28b + -18b = 34 + 18b + -18b Combine like terms: 28b + -18b = 10b -46 + 10b = 34 + 18b + -18b Combine like terms: 18b + -18b = 0 -46 + 10b = 34 + 0 -46 + 10b = 34 Add '46' to each side of the equation. -46 + 46 + 10b = 34 + 46 Combine like terms: -46 + 46 = 0 0 + 10b = 34 + 46 10b = 34 + 46 Combine like terms: 34 + 46 = 80 10b = 80 Divide each side by '10'. b = 8 Simplifying b = 8
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