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Simplifying 7c + 6d + -5(4c + -3d) = 0 7c + 6d + (4c * -5 + -3d * -5) = 0 7c + 6d + (-20c + 15d) = 0 Reorder the terms: 7c + -20c + 6d + 15d = 0 Combine like terms: 7c + -20c = -13c -13c + 6d + 15d = 0 Combine like terms: 6d + 15d = 21d -13c + 21d = 0 Solving -13c + 21d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-21d' to each side of the equation. -13c + 21d + -21d = 0 + -21d Combine like terms: 21d + -21d = 0 -13c + 0 = 0 + -21d -13c = 0 + -21d Remove the zero: -13c = -21d Divide each side by '-13'. c = 1.615384615d Simplifying c = 1.615384615d
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