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Simplifying -25d + 15e + 11c + -14e + 21d + -19c + 25d = 0 Reorder the terms: 11c + -19c + -25d + 21d + 25d + 15e + -14e = 0 Combine like terms: 11c + -19c = -8c -8c + -25d + 21d + 25d + 15e + -14e = 0 Combine like terms: -25d + 21d = -4d -8c + -4d + 25d + 15e + -14e = 0 Combine like terms: -4d + 25d = 21d -8c + 21d + 15e + -14e = 0 Combine like terms: 15e + -14e = 1e -8c + 21d + 1e = 0 Solving -8c + 21d + 1e = 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. -8c + 21d + -21d + 1e = 0 + -21d Combine like terms: 21d + -21d = 0 -8c + 0 + 1e = 0 + -21d -8c + 1e = 0 + -21d Remove the zero: -8c + 1e = -21d Add '-1e' to each side of the equation. -8c + 1e + -1e = -21d + -1e Combine like terms: 1e + -1e = 0 -8c + 0 = -21d + -1e -8c = -21d + -1e Divide each side by '-8'. c = 2.625d + 0.125e Simplifying c = 2.625d + 0.125e
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