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Simplifying 8(b + 2) + -4(b + -5) = b + 12 Reorder the terms: 8(2 + b) + -4(b + -5) = b + 12 (2 * 8 + b * 8) + -4(b + -5) = b + 12 (16 + 8b) + -4(b + -5) = b + 12 Reorder the terms: 16 + 8b + -4(-5 + b) = b + 12 16 + 8b + (-5 * -4 + b * -4) = b + 12 16 + 8b + (20 + -4b) = b + 12 Reorder the terms: 16 + 20 + 8b + -4b = b + 12 Combine like terms: 16 + 20 = 36 36 + 8b + -4b = b + 12 Combine like terms: 8b + -4b = 4b 36 + 4b = b + 12 Reorder the terms: 36 + 4b = 12 + b Solving 36 + 4b = 12 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 36 + 4b + -1b = 12 + b + -1b Combine like terms: 4b + -1b = 3b 36 + 3b = 12 + b + -1b Combine like terms: b + -1b = 0 36 + 3b = 12 + 0 36 + 3b = 12 Add '-36' to each side of the equation. 36 + -36 + 3b = 12 + -36 Combine like terms: 36 + -36 = 0 0 + 3b = 12 + -36 3b = 12 + -36 Combine like terms: 12 + -36 = -24 3b = -24 Divide each side by '3'. b = -8 Simplifying b = -8
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