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Simplifying 2(b + 5) = 3b + 8 Reorder the terms: 2(5 + b) = 3b + 8 (5 * 2 + b * 2) = 3b + 8 (10 + 2b) = 3b + 8 Reorder the terms: 10 + 2b = 8 + 3b Solving 10 + 2b = 8 + 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. 10 + 2b + -3b = 8 + 3b + -3b Combine like terms: 2b + -3b = -1b 10 + -1b = 8 + 3b + -3b Combine like terms: 3b + -3b = 0 10 + -1b = 8 + 0 10 + -1b = 8 Add '-10' to each side of the equation. 10 + -10 + -1b = 8 + -10 Combine like terms: 10 + -10 = 0 0 + -1b = 8 + -10 -1b = 8 + -10 Combine like terms: 8 + -10 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2
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