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Simplifying 0.6(15d + 2c) + -0.17(18d + -12) = 38 Reorder the terms: 0.6(2c + 15d) + -0.17(18d + -12) = 38 (2c * 0.6 + 15d * 0.6) + -0.17(18d + -12) = 38 (1.2c + 9d) + -0.17(18d + -12) = 38 Reorder the terms: 1.2c + 9d + -0.17(-12 + 18d) = 38 1.2c + 9d + (-12 * -0.17 + 18d * -0.17) = 38 1.2c + 9d + (2.04 + -3.06d) = 38 Reorder the terms: 2.04 + 1.2c + 9d + -3.06d = 38 Combine like terms: 9d + -3.06d = 5.94d 2.04 + 1.2c + 5.94d = 38 Solving 2.04 + 1.2c + 5.94d = 38 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.04' to each side of the equation. 2.04 + 1.2c + -2.04 + 5.94d = 38 + -2.04 Reorder the terms: 2.04 + -2.04 + 1.2c + 5.94d = 38 + -2.04 Combine like terms: 2.04 + -2.04 = 0.00 0.00 + 1.2c + 5.94d = 38 + -2.04 1.2c + 5.94d = 38 + -2.04 Combine like terms: 38 + -2.04 = 35.96 1.2c + 5.94d = 35.96 Add '-5.94d' to each side of the equation. 1.2c + 5.94d + -5.94d = 35.96 + -5.94d Combine like terms: 5.94d + -5.94d = 0.00 1.2c + 0.00 = 35.96 + -5.94d 1.2c = 35.96 + -5.94d Divide each side by '1.2'. c = 29.96666667 + -4.95d Simplifying c = 29.96666667 + -4.95d
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