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Simplifying 4(b + 3) = 3b + 13 Reorder the terms: 4(3 + b) = 3b + 13 (3 * 4 + b * 4) = 3b + 13 (12 + 4b) = 3b + 13 Reorder the terms: 12 + 4b = 13 + 3b Solving 12 + 4b = 13 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 12 + 4b + -3b = 13 + 3b + -3b Combine like terms: 4b + -3b = 1b 12 + 1b = 13 + 3b + -3b Combine like terms: 3b + -3b = 0 12 + 1b = 13 + 0 12 + 1b = 13 Add '-12' to each side of the equation. 12 + -12 + 1b = 13 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = 13 + -12 1b = 13 + -12 Combine like terms: 13 + -12 = 1 1b = 1 Divide each side by '1'. b = 1 Simplifying b = 1
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