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Simplifying 2b + -3(12 + -1c) = 1.5 2b + (12 * -3 + -1c * -3) = 1.5 2b + (-36 + 3c) = 1.5 Reorder the terms: -36 + 2b + 3c = 1.5 Solving -36 + 2b + 3c = 1.5 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 2b + 36 + 3c = 1.5 + 36 Reorder the terms: -36 + 36 + 2b + 3c = 1.5 + 36 Combine like terms: -36 + 36 = 0 0 + 2b + 3c = 1.5 + 36 2b + 3c = 1.5 + 36 Combine like terms: 1.5 + 36 = 37.5 2b + 3c = 37.5 Add '-3c' to each side of the equation. 2b + 3c + -3c = 37.5 + -3c Combine like terms: 3c + -3c = 0 2b + 0 = 37.5 + -3c 2b = 37.5 + -3c Divide each side by '2'. b = 18.75 + -1.5c Simplifying b = 18.75 + -1.5c
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