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Simplifying -2(b + 4) + 5(2b + 3) = -2b + 3b Reorder the terms: -2(4 + b) + 5(2b + 3) = -2b + 3b (4 * -2 + b * -2) + 5(2b + 3) = -2b + 3b (-8 + -2b) + 5(2b + 3) = -2b + 3b Reorder the terms: -8 + -2b + 5(3 + 2b) = -2b + 3b -8 + -2b + (3 * 5 + 2b * 5) = -2b + 3b -8 + -2b + (15 + 10b) = -2b + 3b Reorder the terms: -8 + 15 + -2b + 10b = -2b + 3b Combine like terms: -8 + 15 = 7 7 + -2b + 10b = -2b + 3b Combine like terms: -2b + 10b = 8b 7 + 8b = -2b + 3b Combine like terms: -2b + 3b = 1b 7 + 8b = 1b Solving 7 + 8b = 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 7 + 8b + -1b = 1b + -1b Combine like terms: 8b + -1b = 7b 7 + 7b = 1b + -1b Combine like terms: 1b + -1b = 0 7 + 7b = 0 Add '-7' to each side of the equation. 7 + -7 + 7b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 7b = 0 + -7 7b = 0 + -7 Combine like terms: 0 + -7 = -7 7b = -7 Divide each side by '7'. b = -1 Simplifying b = -1
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