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Simplifying 2(27 + -1b) = -100 + -4b + 6(3 + -1b) (27 * 2 + -1b * 2) = -100 + -4b + 6(3 + -1b) (54 + -2b) = -100 + -4b + 6(3 + -1b) 54 + -2b = -100 + -4b + (3 * 6 + -1b * 6) 54 + -2b = -100 + -4b + (18 + -6b) Reorder the terms: 54 + -2b = -100 + 18 + -4b + -6b Combine like terms: -100 + 18 = -82 54 + -2b = -82 + -4b + -6b Combine like terms: -4b + -6b = -10b 54 + -2b = -82 + -10b Solving 54 + -2b = -82 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 54 + -2b + 10b = -82 + -10b + 10b Combine like terms: -2b + 10b = 8b 54 + 8b = -82 + -10b + 10b Combine like terms: -10b + 10b = 0 54 + 8b = -82 + 0 54 + 8b = -82 Add '-54' to each side of the equation. 54 + -54 + 8b = -82 + -54 Combine like terms: 54 + -54 = 0 0 + 8b = -82 + -54 8b = -82 + -54 Combine like terms: -82 + -54 = -136 8b = -136 Divide each side by '8'. b = -17 Simplifying b = -17
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