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Simplifying 8c + 3d + -7(3c + -3d) = 0 8c + 3d + (3c * -7 + -3d * -7) = 0 8c + 3d + (-21c + 21d) = 0 Reorder the terms: 8c + -21c + 3d + 21d = 0 Combine like terms: 8c + -21c = -13c -13c + 3d + 21d = 0 Combine like terms: 3d + 21d = 24d -13c + 24d = 0 Solving -13c + 24d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-24d' to each side of the equation. -13c + 24d + -24d = 0 + -24d Combine like terms: 24d + -24d = 0 -13c + 0 = 0 + -24d -13c = 0 + -24d Remove the zero: -13c = -24d Divide each side by '-13'. c = 1.846153846d Simplifying c = 1.846153846d
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