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Simplifying 10b + 20 = 5(b + -10) Reorder the terms: 20 + 10b = 5(b + -10) Reorder the terms: 20 + 10b = 5(-10 + b) 20 + 10b = (-10 * 5 + b * 5) 20 + 10b = (-50 + 5b) Solving 20 + 10b = -50 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 20 + 10b + -5b = -50 + 5b + -5b Combine like terms: 10b + -5b = 5b 20 + 5b = -50 + 5b + -5b Combine like terms: 5b + -5b = 0 20 + 5b = -50 + 0 20 + 5b = -50 Add '-20' to each side of the equation. 20 + -20 + 5b = -50 + -20 Combine like terms: 20 + -20 = 0 0 + 5b = -50 + -20 5b = -50 + -20 Combine like terms: -50 + -20 = -70 5b = -70 Divide each side by '5'. b = -14 Simplifying b = -14
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