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Simplifying -9(b + -2) + 2(b + -13) = 9 + 2(-1b + 9) Reorder the terms: -9(-2 + b) + 2(b + -13) = 9 + 2(-1b + 9) (-2 * -9 + b * -9) + 2(b + -13) = 9 + 2(-1b + 9) (18 + -9b) + 2(b + -13) = 9 + 2(-1b + 9) Reorder the terms: 18 + -9b + 2(-13 + b) = 9 + 2(-1b + 9) 18 + -9b + (-13 * 2 + b * 2) = 9 + 2(-1b + 9) 18 + -9b + (-26 + 2b) = 9 + 2(-1b + 9) Reorder the terms: 18 + -26 + -9b + 2b = 9 + 2(-1b + 9) Combine like terms: 18 + -26 = -8 -8 + -9b + 2b = 9 + 2(-1b + 9) Combine like terms: -9b + 2b = -7b -8 + -7b = 9 + 2(-1b + 9) Reorder the terms: -8 + -7b = 9 + 2(9 + -1b) -8 + -7b = 9 + (9 * 2 + -1b * 2) -8 + -7b = 9 + (18 + -2b) Combine like terms: 9 + 18 = 27 -8 + -7b = 27 + -2b Solving -8 + -7b = 27 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. -8 + -7b + 2b = 27 + -2b + 2b Combine like terms: -7b + 2b = -5b -8 + -5b = 27 + -2b + 2b Combine like terms: -2b + 2b = 0 -8 + -5b = 27 + 0 -8 + -5b = 27 Add '8' to each side of the equation. -8 + 8 + -5b = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -5b = 27 + 8 -5b = 27 + 8 Combine like terms: 27 + 8 = 35 -5b = 35 Divide each side by '-5'. b = -7 Simplifying b = -7
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