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Simplifying 8(1 + 6b) = 8(2b + 1) (1 * 8 + 6b * 8) = 8(2b + 1) (8 + 48b) = 8(2b + 1) Reorder the terms: 8 + 48b = 8(1 + 2b) 8 + 48b = (1 * 8 + 2b * 8) 8 + 48b = (8 + 16b) Add '-8' to each side of the equation. 8 + -8 + 48b = 8 + -8 + 16b Combine like terms: 8 + -8 = 0 0 + 48b = 8 + -8 + 16b 48b = 8 + -8 + 16b Combine like terms: 8 + -8 = 0 48b = 0 + 16b 48b = 16b Solving 48b = 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 48b + -16b = 16b + -16b Combine like terms: 48b + -16b = 32b 32b = 16b + -16b Combine like terms: 16b + -16b = 0 32b = 0 Divide each side by '32'. b = 0 Simplifying b = 0
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