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Simplifying 5(b + 12) = 12b + -16 Reorder the terms: 5(12 + b) = 12b + -16 (12 * 5 + b * 5) = 12b + -16 (60 + 5b) = 12b + -16 Reorder the terms: 60 + 5b = -16 + 12b Solving 60 + 5b = -16 + 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. 60 + 5b + -12b = -16 + 12b + -12b Combine like terms: 5b + -12b = -7b 60 + -7b = -16 + 12b + -12b Combine like terms: 12b + -12b = 0 60 + -7b = -16 + 0 60 + -7b = -16 Add '-60' to each side of the equation. 60 + -60 + -7b = -16 + -60 Combine like terms: 60 + -60 = 0 0 + -7b = -16 + -60 -7b = -16 + -60 Combine like terms: -16 + -60 = -76 -7b = -76 Divide each side by '-7'. b = 10.85714286 Simplifying b = 10.85714286
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