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