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Simplifying 5(b + -1) + 10(b + 2) = 45 Reorder the terms: 5(-1 + b) + 10(b + 2) = 45 (-1 * 5 + b * 5) + 10(b + 2) = 45 (-5 + 5b) + 10(b + 2) = 45 Reorder the terms: -5 + 5b + 10(2 + b) = 45 -5 + 5b + (2 * 10 + b * 10) = 45 -5 + 5b + (20 + 10b) = 45 Reorder the terms: -5 + 20 + 5b + 10b = 45 Combine like terms: -5 + 20 = 15 15 + 5b + 10b = 45 Combine like terms: 5b + 10b = 15b 15 + 15b = 45 Solving 15 + 15b = 45 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 15b = 45 + -15 Combine like terms: 15 + -15 = 0 0 + 15b = 45 + -15 15b = 45 + -15 Combine like terms: 45 + -15 = 30 15b = 30 Divide each side by '15'. b = 2 Simplifying b = 2
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