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Simplifying -1(12c + -11d + -8e + -10) = 0 Reorder the terms: -1(-10 + 12c + -11d + -8e) = 0 (-10 * -1 + 12c * -1 + -11d * -1 + -8e * -1) = 0 (10 + -12c + 11d + 8e) = 0 Solving 10 + -12c + 11d + 8e = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -12c + 11d + -10 + 8e = 0 + -10 Reorder the terms: 10 + -10 + -12c + 11d + 8e = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -12c + 11d + 8e = 0 + -10 -12c + 11d + 8e = 0 + -10 Combine like terms: 0 + -10 = -10 -12c + 11d + 8e = -10 Add '-11d' to each side of the equation. -12c + 11d + -11d + 8e = -10 + -11d Combine like terms: 11d + -11d = 0 -12c + 0 + 8e = -10 + -11d -12c + 8e = -10 + -11d Add '-8e' to each side of the equation. -12c + 8e + -8e = -10 + -11d + -8e Combine like terms: 8e + -8e = 0 -12c + 0 = -10 + -11d + -8e -12c = -10 + -11d + -8e Divide each side by '-12'. c = 0.8333333333 + 0.9166666667d + 0.6666666667e Simplifying c = 0.8333333333 + 0.9166666667d + 0.6666666667e
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