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Simplifying b + 3(3 + -2b) = 1 + -2(b + 1) b + (3 * 3 + -2b * 3) = 1 + -2(b + 1) b + (9 + -6b) = 1 + -2(b + 1) Reorder the terms: 9 + b + -6b = 1 + -2(b + 1) Combine like terms: b + -6b = -5b 9 + -5b = 1 + -2(b + 1) Reorder the terms: 9 + -5b = 1 + -2(1 + b) 9 + -5b = 1 + (1 * -2 + b * -2) 9 + -5b = 1 + (-2 + -2b) Combine like terms: 1 + -2 = -1 9 + -5b = -1 + -2b Solving 9 + -5b = -1 + -2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2b' to each side of the equation. 9 + -5b + 2b = -1 + -2b + 2b Combine like terms: -5b + 2b = -3b 9 + -3b = -1 + -2b + 2b Combine like terms: -2b + 2b = 0 9 + -3b = -1 + 0 9 + -3b = -1 Add '-9' to each side of the equation. 9 + -9 + -3b = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -3b = -1 + -9 -3b = -1 + -9 Combine like terms: -1 + -9 = -10 -3b = -10 Divide each side by '-3'. b = 3.333333333 Simplifying b = 3.333333333
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