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Simplifying (2b + 7b + -1) + -1(b + -2b + -4) = 18 Reorder the terms: (-1 + 2b + 7b) + -1(b + -2b + -4) = 18 Combine like terms: 2b + 7b = 9b (-1 + 9b) + -1(b + -2b + -4) = 18 Remove parenthesis around (-1 + 9b) -1 + 9b + -1(b + -2b + -4) = 18 Reorder the terms: -1 + 9b + -1(-4 + b + -2b) = 18 Combine like terms: b + -2b = -1b -1 + 9b + -1(-4 + -1b) = 18 -1 + 9b + (-4 * -1 + -1b * -1) = 18 -1 + 9b + (4 + 1b) = 18 Reorder the terms: -1 + 4 + 9b + 1b = 18 Combine like terms: -1 + 4 = 3 3 + 9b + 1b = 18 Combine like terms: 9b + 1b = 10b 3 + 10b = 18 Solving 3 + 10b = 18 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10b = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 10b = 18 + -3 10b = 18 + -3 Combine like terms: 18 + -3 = 15 10b = 15 Divide each side by '10'. b = 1.5 Simplifying b = 1.5
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