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Simplifying 3(12 + -4b) = 21 + -13b (12 * 3 + -4b * 3) = 21 + -13b (36 + -12b) = 21 + -13b Solving 36 + -12b = 21 + -13b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '13b' to each side of the equation. 36 + -12b + 13b = 21 + -13b + 13b Combine like terms: -12b + 13b = 1b 36 + 1b = 21 + -13b + 13b Combine like terms: -13b + 13b = 0 36 + 1b = 21 + 0 36 + 1b = 21 Add '-36' to each side of the equation. 36 + -36 + 1b = 21 + -36 Combine like terms: 36 + -36 = 0 0 + 1b = 21 + -36 1b = 21 + -36 Combine like terms: 21 + -36 = -15 1b = -15 Divide each side by '1'. b = -15 Simplifying b = -15
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