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Simplifying 8b + 18 = 7(b + 2) + 2b Reorder the terms: 18 + 8b = 7(b + 2) + 2b Reorder the terms: 18 + 8b = 7(2 + b) + 2b 18 + 8b = (2 * 7 + b * 7) + 2b 18 + 8b = (14 + 7b) + 2b Combine like terms: 7b + 2b = 9b 18 + 8b = 14 + 9b Solving 18 + 8b = 14 + 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. 18 + 8b + -9b = 14 + 9b + -9b Combine like terms: 8b + -9b = -1b 18 + -1b = 14 + 9b + -9b Combine like terms: 9b + -9b = 0 18 + -1b = 14 + 0 18 + -1b = 14 Add '-18' to each side of the equation. 18 + -18 + -1b = 14 + -18 Combine like terms: 18 + -18 = 0 0 + -1b = 14 + -18 -1b = 14 + -18 Combine like terms: 14 + -18 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4
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