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Simplifying 10(b + 2) + -5(b + 3) = 0 Reorder the terms: 10(2 + b) + -5(b + 3) = 0 (2 * 10 + b * 10) + -5(b + 3) = 0 (20 + 10b) + -5(b + 3) = 0 Reorder the terms: 20 + 10b + -5(3 + b) = 0 20 + 10b + (3 * -5 + b * -5) = 0 20 + 10b + (-15 + -5b) = 0 Reorder the terms: 20 + -15 + 10b + -5b = 0 Combine like terms: 20 + -15 = 5 5 + 10b + -5b = 0 Combine like terms: 10b + -5b = 5b 5 + 5b = 0 Solving 5 + 5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5b = 0 + -5 5b = 0 + -5 Combine like terms: 0 + -5 = -5 5b = -5 Divide each side by '5'. b = -1 Simplifying b = -1
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