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Simplifying 3(7 + 2b) = 15 + 5b (7 * 3 + 2b * 3) = 15 + 5b (21 + 6b) = 15 + 5b Solving 21 + 6b = 15 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 21 + 6b + -5b = 15 + 5b + -5b Combine like terms: 6b + -5b = 1b 21 + 1b = 15 + 5b + -5b Combine like terms: 5b + -5b = 0 21 + 1b = 15 + 0 21 + 1b = 15 Add '-21' to each side of the equation. 21 + -21 + 1b = 15 + -21 Combine like terms: 21 + -21 = 0 0 + 1b = 15 + -21 1b = 15 + -21 Combine like terms: 15 + -21 = -6 1b = -6 Divide each side by '1'. b = -6 Simplifying b = -6
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