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Simplifying 8c + 3d + -5(9c + -7d) = 0 8c + 3d + (9c * -5 + -7d * -5) = 0 8c + 3d + (-45c + 35d) = 0 Reorder the terms: 8c + -45c + 3d + 35d = 0 Combine like terms: 8c + -45c = -37c -37c + 3d + 35d = 0 Combine like terms: 3d + 35d = 38d -37c + 38d = 0 Solving -37c + 38d = 0 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. -37c + 38d + -38d = 0 + -38d Combine like terms: 38d + -38d = 0 -37c + 0 = 0 + -38d -37c = 0 + -38d Remove the zero: -37c = -38d Divide each side by '-37'. c = 1.027027027d Simplifying c = 1.027027027d
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