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Simplifying 4(6b + 8) = 2(11b + 30) Reorder the terms: 4(8 + 6b) = 2(11b + 30) (8 * 4 + 6b * 4) = 2(11b + 30) (32 + 24b) = 2(11b + 30) Reorder the terms: 32 + 24b = 2(30 + 11b) 32 + 24b = (30 * 2 + 11b * 2) 32 + 24b = (60 + 22b) Solving 32 + 24b = 60 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. 32 + 24b + -22b = 60 + 22b + -22b Combine like terms: 24b + -22b = 2b 32 + 2b = 60 + 22b + -22b Combine like terms: 22b + -22b = 0 32 + 2b = 60 + 0 32 + 2b = 60 Add '-32' to each side of the equation. 32 + -32 + 2b = 60 + -32 Combine like terms: 32 + -32 = 0 0 + 2b = 60 + -32 2b = 60 + -32 Combine like terms: 60 + -32 = 28 2b = 28 Divide each side by '2'. b = 14 Simplifying b = 14
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