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Simplifying 8(b + 3) = 12(b + 4) + -8 Reorder the terms: 8(3 + b) = 12(b + 4) + -8 (3 * 8 + b * 8) = 12(b + 4) + -8 (24 + 8b) = 12(b + 4) + -8 Reorder the terms: 24 + 8b = 12(4 + b) + -8 24 + 8b = (4 * 12 + b * 12) + -8 24 + 8b = (48 + 12b) + -8 Reorder the terms: 24 + 8b = 48 + -8 + 12b Combine like terms: 48 + -8 = 40 24 + 8b = 40 + 12b Solving 24 + 8b = 40 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. 24 + 8b + -12b = 40 + 12b + -12b Combine like terms: 8b + -12b = -4b 24 + -4b = 40 + 12b + -12b Combine like terms: 12b + -12b = 0 24 + -4b = 40 + 0 24 + -4b = 40 Add '-24' to each side of the equation. 24 + -24 + -4b = 40 + -24 Combine like terms: 24 + -24 = 0 0 + -4b = 40 + -24 -4b = 40 + -24 Combine like terms: 40 + -24 = 16 -4b = 16 Divide each side by '-4'. b = -4 Simplifying b = -4
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