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Simplifying 8(b + 1) = 6(8 + 2b) Reorder the terms: 8(1 + b) = 6(8 + 2b) (1 * 8 + b * 8) = 6(8 + 2b) (8 + 8b) = 6(8 + 2b) 8 + 8b = (8 * 6 + 2b * 6) 8 + 8b = (48 + 12b) Solving 8 + 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. 8 + 8b + -12b = 48 + 12b + -12b Combine like terms: 8b + -12b = -4b 8 + -4b = 48 + 12b + -12b Combine like terms: 12b + -12b = 0 8 + -4b = 48 + 0 8 + -4b = 48 Add '-8' to each side of the equation. 8 + -8 + -4b = 48 + -8 Combine like terms: 8 + -8 = 0 0 + -4b = 48 + -8 -4b = 48 + -8 Combine like terms: 48 + -8 = 40 -4b = 40 Divide each side by '-4'. b = -10 Simplifying b = -10
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