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Simplifying 8 + -1(3b + 5) = -5 + 2(b + 1) Reorder the terms: 8 + -1(5 + 3b) = -5 + 2(b + 1) 8 + (5 * -1 + 3b * -1) = -5 + 2(b + 1) 8 + (-5 + -3b) = -5 + 2(b + 1) Combine like terms: 8 + -5 = 3 3 + -3b = -5 + 2(b + 1) Reorder the terms: 3 + -3b = -5 + 2(1 + b) 3 + -3b = -5 + (1 * 2 + b * 2) 3 + -3b = -5 + (2 + 2b) Combine like terms: -5 + 2 = -3 3 + -3b = -3 + 2b Solving 3 + -3b = -3 + 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. 3 + -3b + -2b = -3 + 2b + -2b Combine like terms: -3b + -2b = -5b 3 + -5b = -3 + 2b + -2b Combine like terms: 2b + -2b = 0 3 + -5b = -3 + 0 3 + -5b = -3 Add '-3' to each side of the equation. 3 + -3 + -5b = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -5b = -3 + -3 -5b = -3 + -3 Combine like terms: -3 + -3 = -6 -5b = -6 Divide each side by '-5'. b = 1.2 Simplifying b = 1.2
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