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Simplifying 2(27 + -1b) = 100 + -4 + 6(3 + -1b) (27 * 2 + -1b * 2) = 100 + -4 + 6(3 + -1b) (54 + -2b) = 100 + -4 + 6(3 + -1b) 54 + -2b = 100 + -4 + (3 * 6 + -1b * 6) 54 + -2b = 100 + -4 + (18 + -6b) Combine like terms: 100 + -4 = 96 54 + -2b = 96 + 18 + -6b Combine like terms: 96 + 18 = 114 54 + -2b = 114 + -6b Solving 54 + -2b = 114 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. 54 + -2b + 6b = 114 + -6b + 6b Combine like terms: -2b + 6b = 4b 54 + 4b = 114 + -6b + 6b Combine like terms: -6b + 6b = 0 54 + 4b = 114 + 0 54 + 4b = 114 Add '-54' to each side of the equation. 54 + -54 + 4b = 114 + -54 Combine like terms: 54 + -54 = 0 0 + 4b = 114 + -54 4b = 114 + -54 Combine like terms: 114 + -54 = 60 4b = 60 Divide each side by '4'. b = 15 Simplifying b = 15
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