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Simplifying 3(12 + 2d) + -7 = 13 + -1(8 + -1c) (12 * 3 + 2d * 3) + -7 = 13 + -1(8 + -1c) (36 + 6d) + -7 = 13 + -1(8 + -1c) Reorder the terms: 36 + -7 + 6d = 13 + -1(8 + -1c) Combine like terms: 36 + -7 = 29 29 + 6d = 13 + -1(8 + -1c) 29 + 6d = 13 + (8 * -1 + -1c * -1) 29 + 6d = 13 + (-8 + 1c) Combine like terms: 13 + -8 = 5 29 + 6d = 5 + 1c Solving 29 + 6d = 5 + 1c Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 6d = 5 + -29 + 1c Combine like terms: 29 + -29 = 0 0 + 6d = 5 + -29 + 1c 6d = 5 + -29 + 1c Combine like terms: 5 + -29 = -24 6d = -24 + 1c Divide each side by '6'. d = -4 + 0.1666666667c Simplifying d = -4 + 0.1666666667c
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