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Simplifying 12(48 + 24b) = 2(17 + -4b) (48 * 12 + 24b * 12) = 2(17 + -4b) (576 + 288b) = 2(17 + -4b) 576 + 288b = (17 * 2 + -4b * 2) 576 + 288b = (34 + -8b) Solving 576 + 288b = 34 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 576 + 288b + 8b = 34 + -8b + 8b Combine like terms: 288b + 8b = 296b 576 + 296b = 34 + -8b + 8b Combine like terms: -8b + 8b = 0 576 + 296b = 34 + 0 576 + 296b = 34 Add '-576' to each side of the equation. 576 + -576 + 296b = 34 + -576 Combine like terms: 576 + -576 = 0 0 + 296b = 34 + -576 296b = 34 + -576 Combine like terms: 34 + -576 = -542 296b = -542 Divide each side by '296'. b = -1.831081081 Simplifying b = -1.831081081
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