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Simplifying 8(b + 1) + -3b = 2b + -1 Reorder the terms: 8(1 + b) + -3b = 2b + -1 (1 * 8 + b * 8) + -3b = 2b + -1 (8 + 8b) + -3b = 2b + -1 Combine like terms: 8b + -3b = 5b 8 + 5b = 2b + -1 Reorder the terms: 8 + 5b = -1 + 2b Solving 8 + 5b = -1 + 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. 8 + 5b + -2b = -1 + 2b + -2b Combine like terms: 5b + -2b = 3b 8 + 3b = -1 + 2b + -2b Combine like terms: 2b + -2b = 0 8 + 3b = -1 + 0 8 + 3b = -1 Add '-8' to each side of the equation. 8 + -8 + 3b = -1 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = -1 + -8 3b = -1 + -8 Combine like terms: -1 + -8 = -9 3b = -9 Divide each side by '3'. b = -3 Simplifying b = -3
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