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Simplifying 4(2b + 6) + 11 = -8b + -13 Reorder the terms: 4(6 + 2b) + 11 = -8b + -13 (6 * 4 + 2b * 4) + 11 = -8b + -13 (24 + 8b) + 11 = -8b + -13 Reorder the terms: 24 + 11 + 8b = -8b + -13 Combine like terms: 24 + 11 = 35 35 + 8b = -8b + -13 Reorder the terms: 35 + 8b = -13 + -8b Solving 35 + 8b = -13 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 35 + 8b + 8b = -13 + -8b + 8b Combine like terms: 8b + 8b = 16b 35 + 16b = -13 + -8b + 8b Combine like terms: -8b + 8b = 0 35 + 16b = -13 + 0 35 + 16b = -13 Add '-35' to each side of the equation. 35 + -35 + 16b = -13 + -35 Combine like terms: 35 + -35 = 0 0 + 16b = -13 + -35 16b = -13 + -35 Combine like terms: -13 + -35 = -48 16b = -48 Divide each side by '16'. b = -3 Simplifying b = -3
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