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Simplifying 3b + 9 + -2b = 11 + 2(b + 1) Reorder the terms: 9 + 3b + -2b = 11 + 2(b + 1) Combine like terms: 3b + -2b = 1b 9 + 1b = 11 + 2(b + 1) Reorder the terms: 9 + 1b = 11 + 2(1 + b) 9 + 1b = 11 + (1 * 2 + b * 2) 9 + 1b = 11 + (2 + 2b) Combine like terms: 11 + 2 = 13 9 + 1b = 13 + 2b Solving 9 + 1b = 13 + 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 + 1b + -2b = 13 + 2b + -2b Combine like terms: 1b + -2b = -1b 9 + -1b = 13 + 2b + -2b Combine like terms: 2b + -2b = 0 9 + -1b = 13 + 0 9 + -1b = 13 Add '-9' to each side of the equation. 9 + -9 + -1b = 13 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 13 + -9 -1b = 13 + -9 Combine like terms: 13 + -9 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4
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