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Simplifying 2(b + 4) + 11 = 3b + -2 Reorder the terms: 2(4 + b) + 11 = 3b + -2 (4 * 2 + b * 2) + 11 = 3b + -2 (8 + 2b) + 11 = 3b + -2 Reorder the terms: 8 + 11 + 2b = 3b + -2 Combine like terms: 8 + 11 = 19 19 + 2b = 3b + -2 Reorder the terms: 19 + 2b = -2 + 3b Solving 19 + 2b = -2 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 19 + 2b + -3b = -2 + 3b + -3b Combine like terms: 2b + -3b = -1b 19 + -1b = -2 + 3b + -3b Combine like terms: 3b + -3b = 0 19 + -1b = -2 + 0 19 + -1b = -2 Add '-19' to each side of the equation. 19 + -19 + -1b = -2 + -19 Combine like terms: 19 + -19 = 0 0 + -1b = -2 + -19 -1b = -2 + -19 Combine like terms: -2 + -19 = -21 -1b = -21 Divide each side by '-1'. b = 21 Simplifying b = 21
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