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Simplifying 5(b + 2) = 8b + -11 Reorder the terms: 5(2 + b) = 8b + -11 (2 * 5 + b * 5) = 8b + -11 (10 + 5b) = 8b + -11 Reorder the terms: 10 + 5b = -11 + 8b Solving 10 + 5b = -11 + 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. 10 + 5b + -8b = -11 + 8b + -8b Combine like terms: 5b + -8b = -3b 10 + -3b = -11 + 8b + -8b Combine like terms: 8b + -8b = 0 10 + -3b = -11 + 0 10 + -3b = -11 Add '-10' to each side of the equation. 10 + -10 + -3b = -11 + -10 Combine like terms: 10 + -10 = 0 0 + -3b = -11 + -10 -3b = -11 + -10 Combine like terms: -11 + -10 = -21 -3b = -21 Divide each side by '-3'. b = 7 Simplifying b = 7
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