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Simplifying -12(-6 + -1b) = b + 17 (-6 * -12 + -1b * -12) = b + 17 (72 + 12b) = b + 17 Reorder the terms: 72 + 12b = 17 + b Solving 72 + 12b = 17 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 72 + 12b + -1b = 17 + b + -1b Combine like terms: 12b + -1b = 11b 72 + 11b = 17 + b + -1b Combine like terms: b + -1b = 0 72 + 11b = 17 + 0 72 + 11b = 17 Add '-72' to each side of the equation. 72 + -72 + 11b = 17 + -72 Combine like terms: 72 + -72 = 0 0 + 11b = 17 + -72 11b = 17 + -72 Combine like terms: 17 + -72 = -55 11b = -55 Divide each side by '11'. b = -5 Simplifying b = -5
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