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Simplifying 3(b + 5) = 2(b + -5) + 20 Reorder the terms: 3(5 + b) = 2(b + -5) + 20 (5 * 3 + b * 3) = 2(b + -5) + 20 (15 + 3b) = 2(b + -5) + 20 Reorder the terms: 15 + 3b = 2(-5 + b) + 20 15 + 3b = (-5 * 2 + b * 2) + 20 15 + 3b = (-10 + 2b) + 20 Reorder the terms: 15 + 3b = -10 + 20 + 2b Combine like terms: -10 + 20 = 10 15 + 3b = 10 + 2b Solving 15 + 3b = 10 + 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. 15 + 3b + -2b = 10 + 2b + -2b Combine like terms: 3b + -2b = 1b 15 + 1b = 10 + 2b + -2b Combine like terms: 2b + -2b = 0 15 + 1b = 10 + 0 15 + 1b = 10 Add '-15' to each side of the equation. 15 + -15 + 1b = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 1b = 10 + -15 1b = 10 + -15 Combine like terms: 10 + -15 = -5 1b = -5 Divide each side by '1'. b = -5 Simplifying b = -5
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