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Simplifying 5c + 2d + -2(9c + -8d) = 0 5c + 2d + (9c * -2 + -8d * -2) = 0 5c + 2d + (-18c + 16d) = 0 Reorder the terms: 5c + -18c + 2d + 16d = 0 Combine like terms: 5c + -18c = -13c -13c + 2d + 16d = 0 Combine like terms: 2d + 16d = 18d -13c + 18d = 0 Solving -13c + 18d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18d' to each side of the equation. -13c + 18d + -18d = 0 + -18d Combine like terms: 18d + -18d = 0 -13c + 0 = 0 + -18d -13c = 0 + -18d Remove the zero: -13c = -18d Divide each side by '-13'. c = 1.384615385d Simplifying c = 1.384615385d
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