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Simplifying 5(b + 3) + 2b = 39 + 3b Reorder the terms: 5(3 + b) + 2b = 39 + 3b (3 * 5 + b * 5) + 2b = 39 + 3b (15 + 5b) + 2b = 39 + 3b Combine like terms: 5b + 2b = 7b 15 + 7b = 39 + 3b Solving 15 + 7b = 39 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 15 + 7b + -3b = 39 + 3b + -3b Combine like terms: 7b + -3b = 4b 15 + 4b = 39 + 3b + -3b Combine like terms: 3b + -3b = 0 15 + 4b = 39 + 0 15 + 4b = 39 Add '-15' to each side of the equation. 15 + -15 + 4b = 39 + -15 Combine like terms: 15 + -15 = 0 0 + 4b = 39 + -15 4b = 39 + -15 Combine like terms: 39 + -15 = 24 4b = 24 Divide each side by '4'. b = 6 Simplifying b = 6
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