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Simplifying -2(b + -1) = -5 + -3(b + -9) Reorder the terms: -2(-1 + b) = -5 + -3(b + -9) (-1 * -2 + b * -2) = -5 + -3(b + -9) (2 + -2b) = -5 + -3(b + -9) Reorder the terms: 2 + -2b = -5 + -3(-9 + b) 2 + -2b = -5 + (-9 * -3 + b * -3) 2 + -2b = -5 + (27 + -3b) Combine like terms: -5 + 27 = 22 2 + -2b = 22 + -3b Solving 2 + -2b = 22 + -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. 2 + -2b + 3b = 22 + -3b + 3b Combine like terms: -2b + 3b = 1b 2 + 1b = 22 + -3b + 3b Combine like terms: -3b + 3b = 0 2 + 1b = 22 + 0 2 + 1b = 22 Add '-2' to each side of the equation. 2 + -2 + 1b = 22 + -2 Combine like terms: 2 + -2 = 0 0 + 1b = 22 + -2 1b = 22 + -2 Combine like terms: 22 + -2 = 20 1b = 20 Divide each side by '1'. b = 20 Simplifying b = 20
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