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Simplifying 3(b + 4) = 4b + 3 Reorder the terms: 3(4 + b) = 4b + 3 (4 * 3 + b * 3) = 4b + 3 (12 + 3b) = 4b + 3 Reorder the terms: 12 + 3b = 3 + 4b Solving 12 + 3b = 3 + 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. 12 + 3b + -4b = 3 + 4b + -4b Combine like terms: 3b + -4b = -1b 12 + -1b = 3 + 4b + -4b Combine like terms: 4b + -4b = 0 12 + -1b = 3 + 0 12 + -1b = 3 Add '-12' to each side of the equation. 12 + -12 + -1b = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -1b = 3 + -12 -1b = 3 + -12 Combine like terms: 3 + -12 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9
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