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Simplifying 8(b + 2) = 6(8 + 2b) Reorder the terms: 8(2 + b) = 6(8 + 2b) (2 * 8 + b * 8) = 6(8 + 2b) (16 + 8b) = 6(8 + 2b) 16 + 8b = (8 * 6 + 2b * 6) 16 + 8b = (48 + 12b) Solving 16 + 8b = 48 + 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. 16 + 8b + -12b = 48 + 12b + -12b Combine like terms: 8b + -12b = -4b 16 + -4b = 48 + 12b + -12b Combine like terms: 12b + -12b = 0 16 + -4b = 48 + 0 16 + -4b = 48 Add '-16' to each side of the equation. 16 + -16 + -4b = 48 + -16 Combine like terms: 16 + -16 = 0 0 + -4b = 48 + -16 -4b = 48 + -16 Combine like terms: 48 + -16 = 32 -4b = 32 Divide each side by '-4'. b = -8 Simplifying b = -8
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