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Simplifying 1 + -11(b + -6) = -1b + -23 Reorder the terms: 1 + -11(-6 + b) = -1b + -23 1 + (-6 * -11 + b * -11) = -1b + -23 1 + (66 + -11b) = -1b + -23 Combine like terms: 1 + 66 = 67 67 + -11b = -1b + -23 Reorder the terms: 67 + -11b = -23 + -1b Solving 67 + -11b = -23 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 67 + -11b + b = -23 + -1b + b Combine like terms: -11b + b = -10b 67 + -10b = -23 + -1b + b Combine like terms: -1b + b = 0 67 + -10b = -23 + 0 67 + -10b = -23 Add '-67' to each side of the equation. 67 + -67 + -10b = -23 + -67 Combine like terms: 67 + -67 = 0 0 + -10b = -23 + -67 -10b = -23 + -67 Combine like terms: -23 + -67 = -90 -10b = -90 Divide each side by '-10'. b = 9 Simplifying b = 9
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