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Simplifying 8(b + 2) = 10(2b + 4) Reorder the terms: 8(2 + b) = 10(2b + 4) (2 * 8 + b * 8) = 10(2b + 4) (16 + 8b) = 10(2b + 4) Reorder the terms: 16 + 8b = 10(4 + 2b) 16 + 8b = (4 * 10 + 2b * 10) 16 + 8b = (40 + 20b) Solving 16 + 8b = 40 + 20b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-20b' to each side of the equation. 16 + 8b + -20b = 40 + 20b + -20b Combine like terms: 8b + -20b = -12b 16 + -12b = 40 + 20b + -20b Combine like terms: 20b + -20b = 0 16 + -12b = 40 + 0 16 + -12b = 40 Add '-16' to each side of the equation. 16 + -16 + -12b = 40 + -16 Combine like terms: 16 + -16 = 0 0 + -12b = 40 + -16 -12b = 40 + -16 Combine like terms: 40 + -16 = 24 -12b = 24 Divide each side by '-12'. b = -2 Simplifying b = -2
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