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Simplifying 3(4 + 12b) + -1b = 82 (4 * 3 + 12b * 3) + -1b = 82 (12 + 36b) + -1b = 82 Combine like terms: 36b + -1b = 35b 12 + 35b = 82 Solving 12 + 35b = 82 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 35b = 82 + -12 Combine like terms: 12 + -12 = 0 0 + 35b = 82 + -12 35b = 82 + -12 Combine like terms: 82 + -12 = 70 35b = 70 Divide each side by '35'. b = 2 Simplifying b = 2
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