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Simplifying 2(5b + 12) = 24b + -4b + -4 Reorder the terms: 2(12 + 5b) = 24b + -4b + -4 (12 * 2 + 5b * 2) = 24b + -4b + -4 (24 + 10b) = 24b + -4b + -4 Reorder the terms: 24 + 10b = -4 + 24b + -4b Combine like terms: 24b + -4b = 20b 24 + 10b = -4 + 20b Solving 24 + 10b = -4 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 24 + 10b + -20b = -4 + 20b + -20b Combine like terms: 10b + -20b = -10b 24 + -10b = -4 + 20b + -20b Combine like terms: 20b + -20b = 0 24 + -10b = -4 + 0 24 + -10b = -4 Add '-24' to each side of the equation. 24 + -24 + -10b = -4 + -24 Combine like terms: 24 + -24 = 0 0 + -10b = -4 + -24 -10b = -4 + -24 Combine like terms: -4 + -24 = -28 -10b = -28 Divide each side by '-10'. b = 2.8 Simplifying b = 2.8
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