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Simplifying 10b + -5(8b + -2) = 100 Reorder the terms: 10b + -5(-2 + 8b) = 100 10b + (-2 * -5 + 8b * -5) = 100 10b + (10 + -40b) = 100 Reorder the terms: 10 + 10b + -40b = 100 Combine like terms: 10b + -40b = -30b 10 + -30b = 100 Solving 10 + -30b = 100 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -30b = 100 + -10 Combine like terms: 10 + -10 = 0 0 + -30b = 100 + -10 -30b = 100 + -10 Combine like terms: 100 + -10 = 90 -30b = 90 Divide each side by '-30'. b = -3 Simplifying b = -3
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