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Simplifying 3(b + 7) = 4b + 15 Reorder the terms: 3(7 + b) = 4b + 15 (7 * 3 + b * 3) = 4b + 15 (21 + 3b) = 4b + 15 Reorder the terms: 21 + 3b = 15 + 4b Solving 21 + 3b = 15 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 21 + 3b + -4b = 15 + 4b + -4b Combine like terms: 3b + -4b = -1b 21 + -1b = 15 + 4b + -4b Combine like terms: 4b + -4b = 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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