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Simplifying 0.33(15d + 3c) + -0.50(8c + -10d) = 0 Reorder the terms: 0.33(3c + 15d) + -0.50(8c + -10d) = 0 (3c * 0.33 + 15d * 0.33) + -0.50(8c + -10d) = 0 (0.99c + 4.95d) + -0.50(8c + -10d) = 0 0.99c + 4.95d + (8c * -0.50 + -10d * -0.50) = 0 0.99c + 4.95d + (-4c + 5d) = 0 Reorder the terms: 0.99c + -4c + 4.95d + 5d = 0 Combine like terms: 0.99c + -4c = -3.01c -3.01c + 4.95d + 5d = 0 Combine like terms: 4.95d + 5d = 9.95d -3.01c + 9.95d = 0 Solving -3.01c + 9.95d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9.95d' to each side of the equation. -3.01c + 9.95d + -9.95d = 0 + -9.95d Combine like terms: 9.95d + -9.95d = 0.00 -3.01c + 0.00 = 0 + -9.95d -3.01c = 0 + -9.95d Remove the zero: -3.01c = -9.95d Divide each side by '-3.01'. c = 3.305647841d Simplifying c = 3.305647841d
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