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Simplifying 1 + 5(b + 3) = 8(b + 2) Reorder the terms: 1 + 5(3 + b) = 8(b + 2) 1 + (3 * 5 + b * 5) = 8(b + 2) 1 + (15 + 5b) = 8(b + 2) Combine like terms: 1 + 15 = 16 16 + 5b = 8(b + 2) Reorder the terms: 16 + 5b = 8(2 + b) 16 + 5b = (2 * 8 + b * 8) 16 + 5b = (16 + 8b) Add '-16' to each side of the equation. 16 + -16 + 5b = 16 + -16 + 8b Combine like terms: 16 + -16 = 0 0 + 5b = 16 + -16 + 8b 5b = 16 + -16 + 8b Combine like terms: 16 + -16 = 0 5b = 0 + 8b 5b = 8b Solving 5b = 8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-8b' to each side of the equation. 5b + -8b = 8b + -8b Combine like terms: 5b + -8b = -3b -3b = 8b + -8b Combine like terms: 8b + -8b = 0 -3b = 0 Divide each side by '-3'. b = 0 Simplifying b = 0
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