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Simplifying 2(2b + 7) = 3(b + 3) + 3 Reorder the terms: 2(7 + 2b) = 3(b + 3) + 3 (7 * 2 + 2b * 2) = 3(b + 3) + 3 (14 + 4b) = 3(b + 3) + 3 Reorder the terms: 14 + 4b = 3(3 + b) + 3 14 + 4b = (3 * 3 + b * 3) + 3 14 + 4b = (9 + 3b) + 3 Reorder the terms: 14 + 4b = 9 + 3 + 3b Combine like terms: 9 + 3 = 12 14 + 4b = 12 + 3b Solving 14 + 4b = 12 + 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. 14 + 4b + -3b = 12 + 3b + -3b Combine like terms: 4b + -3b = 1b 14 + 1b = 12 + 3b + -3b Combine like terms: 3b + -3b = 0 14 + 1b = 12 + 0 14 + 1b = 12 Add '-14' to each side of the equation. 14 + -14 + 1b = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 1b = 12 + -14 1b = 12 + -14 Combine like terms: 12 + -14 = -2 1b = -2 Divide each side by '1'. b = -2 Simplifying b = -2
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