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Simplifying 24 + 8b = 4(1 + 7b) 24 + 8b = (1 * 4 + 7b * 4) 24 + 8b = (4 + 28b) Solving 24 + 8b = 4 + 28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28b' to each side of the equation. 24 + 8b + -28b = 4 + 28b + -28b Combine like terms: 8b + -28b = -20b 24 + -20b = 4 + 28b + -28b Combine like terms: 28b + -28b = 0 24 + -20b = 4 + 0 24 + -20b = 4 Add '-24' to each side of the equation. 24 + -24 + -20b = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -20b = 4 + -24 -20b = 4 + -24 Combine like terms: 4 + -24 = -20 -20b = -20 Divide each side by '-20'. b = 1 Simplifying b = 1
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