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Simplifying 2(3b + 4) = 5b + 1 Reorder the terms: 2(4 + 3b) = 5b + 1 (4 * 2 + 3b * 2) = 5b + 1 (8 + 6b) = 5b + 1 Reorder the terms: 8 + 6b = 1 + 5b Solving 8 + 6b = 1 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 8 + 6b + -5b = 1 + 5b + -5b Combine like terms: 6b + -5b = 1b 8 + 1b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 8 + 1b = 1 + 0 8 + 1b = 1 Add '-8' to each side of the equation. 8 + -8 + 1b = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1b = 1 + -8 1b = 1 + -8 Combine like terms: 1 + -8 = -7 1b = -7 Divide each side by '1'. b = -7 Simplifying b = -7
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