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Simplifying 4(3b + 2) = 2b + 18 Reorder the terms: 4(2 + 3b) = 2b + 18 (2 * 4 + 3b * 4) = 2b + 18 (8 + 12b) = 2b + 18 Reorder the terms: 8 + 12b = 18 + 2b Solving 8 + 12b = 18 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 8 + 12b + -2b = 18 + 2b + -2b Combine like terms: 12b + -2b = 10b 8 + 10b = 18 + 2b + -2b Combine like terms: 2b + -2b = 0 8 + 10b = 18 + 0 8 + 10b = 18 Add '-8' to each side of the equation. 8 + -8 + 10b = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 10b = 18 + -8 10b = 18 + -8 Combine like terms: 18 + -8 = 10 10b = 10 Divide each side by '10'. b = 1 Simplifying b = 1
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