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Simplifying 15c + 38d = 9(2d + 1) + -3 Reorder the terms: 15c + 38d = 9(1 + 2d) + -3 15c + 38d = (1 * 9 + 2d * 9) + -3 15c + 38d = (9 + 18d) + -3 Reorder the terms: 15c + 38d = 9 + -3 + 18d Combine like terms: 9 + -3 = 6 15c + 38d = 6 + 18d Solving 15c + 38d = 6 + 18d Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-38d' to each side of the equation. 15c + 38d + -38d = 6 + 18d + -38d Combine like terms: 38d + -38d = 0 15c + 0 = 6 + 18d + -38d 15c = 6 + 18d + -38d Combine like terms: 18d + -38d = -20d 15c = 6 + -20d Divide each side by '15'. c = 0.4 + -1.333333333d Simplifying c = 0.4 + -1.333333333d
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