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Simplifying 3(b + 12) = 7(b + -4) Reorder the terms: 3(12 + b) = 7(b + -4) (12 * 3 + b * 3) = 7(b + -4) (36 + 3b) = 7(b + -4) Reorder the terms: 36 + 3b = 7(-4 + b) 36 + 3b = (-4 * 7 + b * 7) 36 + 3b = (-28 + 7b) Solving 36 + 3b = -28 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 36 + 3b + -7b = -28 + 7b + -7b Combine like terms: 3b + -7b = -4b 36 + -4b = -28 + 7b + -7b Combine like terms: 7b + -7b = 0 36 + -4b = -28 + 0 36 + -4b = -28 Add '-36' to each side of the equation. 36 + -36 + -4b = -28 + -36 Combine like terms: 36 + -36 = 0 0 + -4b = -28 + -36 -4b = -28 + -36 Combine like terms: -28 + -36 = -64 -4b = -64 Divide each side by '-4'. b = 16 Simplifying b = 16
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