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Simplifying 2c + 4d + -3(5c + -9d) = 0 2c + 4d + (5c * -3 + -9d * -3) = 0 2c + 4d + (-15c + 27d) = 0 Reorder the terms: 2c + -15c + 4d + 27d = 0 Combine like terms: 2c + -15c = -13c -13c + 4d + 27d = 0 Combine like terms: 4d + 27d = 31d -13c + 31d = 0 Solving -13c + 31d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-31d' to each side of the equation. -13c + 31d + -31d = 0 + -31d Combine like terms: 31d + -31d = 0 -13c + 0 = 0 + -31d -13c = 0 + -31d Remove the zero: -13c = -31d Divide each side by '-13'. c = 2.384615385d Simplifying c = 2.384615385d
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