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Simplifying 5(b + 6) + 5(b + -5) = 0 Reorder the terms: 5(6 + b) + 5(b + -5) = 0 (6 * 5 + b * 5) + 5(b + -5) = 0 (30 + 5b) + 5(b + -5) = 0 Reorder the terms: 30 + 5b + 5(-5 + b) = 0 30 + 5b + (-5 * 5 + b * 5) = 0 30 + 5b + (-25 + 5b) = 0 Reorder the terms: 30 + -25 + 5b + 5b = 0 Combine like terms: 30 + -25 = 5 5 + 5b + 5b = 0 Combine like terms: 5b + 5b = 10b 5 + 10b = 0 Solving 5 + 10b = 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 + 10b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10b = 0 + -5 10b = 0 + -5 Combine like terms: 0 + -5 = -5 10b = -5 Divide each side by '10'. b = -0.5 Simplifying b = -0.5
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