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Simplifying 9(8 + -8b) = -12(1 + -1b) (8 * 9 + -8b * 9) = -12(1 + -1b) (72 + -72b) = -12(1 + -1b) 72 + -72b = (1 * -12 + -1b * -12) 72 + -72b = (-12 + 12b) Solving 72 + -72b = -12 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 72 + -72b + -12b = -12 + 12b + -12b Combine like terms: -72b + -12b = -84b 72 + -84b = -12 + 12b + -12b Combine like terms: 12b + -12b = 0 72 + -84b = -12 + 0 72 + -84b = -12 Add '-72' to each side of the equation. 72 + -72 + -84b = -12 + -72 Combine like terms: 72 + -72 = 0 0 + -84b = -12 + -72 -84b = -12 + -72 Combine like terms: -12 + -72 = -84 -84b = -84 Divide each side by '-84'. b = 1 Simplifying b = 1
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