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Simplifying 89 = 5b + -7(1 + -1b) 89 = 5b + (1 * -7 + -1b * -7) 89 = 5b + (-7 + 7b) Reorder the terms: 89 = -7 + 5b + 7b Combine like terms: 5b + 7b = 12b 89 = -7 + 12b Solving 89 = -7 + 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. 89 + -12b = -7 + 12b + -12b Combine like terms: 12b + -12b = 0 89 + -12b = -7 + 0 89 + -12b = -7 Add '-89' to each side of the equation. 89 + -89 + -12b = -7 + -89 Combine like terms: 89 + -89 = 0 0 + -12b = -7 + -89 -12b = -7 + -89 Combine like terms: -7 + -89 = -96 -12b = -96 Divide each side by '-12'. b = 8 Simplifying b = 8
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