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Simplifying 12b + 6(3 + -1b) = b + 3 12b + (3 * 6 + -1b * 6) = b + 3 12b + (18 + -6b) = b + 3 Reorder the terms: 18 + 12b + -6b = b + 3 Combine like terms: 12b + -6b = 6b 18 + 6b = b + 3 Reorder the terms: 18 + 6b = 3 + b Solving 18 + 6b = 3 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 18 + 6b + -1b = 3 + b + -1b Combine like terms: 6b + -1b = 5b 18 + 5b = 3 + b + -1b Combine like terms: b + -1b = 0 18 + 5b = 3 + 0 18 + 5b = 3 Add '-18' to each side of the equation. 18 + -18 + 5b = 3 + -18 Combine like terms: 18 + -18 = 0 0 + 5b = 3 + -18 5b = 3 + -18 Combine like terms: 3 + -18 = -15 5b = -15 Divide each side by '5'. b = -3 Simplifying b = -3
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