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Simplifying 7(-1b + 2) = 9(-2b + -17) Reorder the terms: 7(2 + -1b) = 9(-2b + -17) (2 * 7 + -1b * 7) = 9(-2b + -17) (14 + -7b) = 9(-2b + -17) Reorder the terms: 14 + -7b = 9(-17 + -2b) 14 + -7b = (-17 * 9 + -2b * 9) 14 + -7b = (-153 + -18b) Solving 14 + -7b = -153 + -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. 14 + -7b + 18b = -153 + -18b + 18b Combine like terms: -7b + 18b = 11b 14 + 11b = -153 + -18b + 18b Combine like terms: -18b + 18b = 0 14 + 11b = -153 + 0 14 + 11b = -153 Add '-14' to each side of the equation. 14 + -14 + 11b = -153 + -14 Combine like terms: 14 + -14 = 0 0 + 11b = -153 + -14 11b = -153 + -14 Combine like terms: -153 + -14 = -167 11b = -167 Divide each side by '11'. b = -15.18181818 Simplifying b = -15.18181818
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