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Simplifying 12b + 12b = -12(b + -4) + 10(3b + 9) Combine like terms: 12b + 12b = 24b 24b = -12(b + -4) + 10(3b + 9) Reorder the terms: 24b = -12(-4 + b) + 10(3b + 9) 24b = (-4 * -12 + b * -12) + 10(3b + 9) 24b = (48 + -12b) + 10(3b + 9) Reorder the terms: 24b = 48 + -12b + 10(9 + 3b) 24b = 48 + -12b + (9 * 10 + 3b * 10) 24b = 48 + -12b + (90 + 30b) Reorder the terms: 24b = 48 + 90 + -12b + 30b Combine like terms: 48 + 90 = 138 24b = 138 + -12b + 30b Combine like terms: -12b + 30b = 18b 24b = 138 + 18b Solving 24b = 138 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 24b + -18b = 138 + 18b + -18b Combine like terms: 24b + -18b = 6b 6b = 138 + 18b + -18b Combine like terms: 18b + -18b = 0 6b = 138 + 0 6b = 138 Divide each side by '6'. b = 23 Simplifying b = 23
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