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Simplifying 5c + 7d + -5e(7c + -6d) = 0 5c + 7d + (7c * -5e + -6d * -5e) = 0 5c + 7d + (-35ce + 30de) = 0 Reorder the terms: 5c + -35ce + 7d + 30de = 0 Solving 5c + -35ce + 7d + 30de = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7d' to each side of the equation. 5c + -35ce + 7d + -7d + 30de = 0 + -7d Combine like terms: 7d + -7d = 0 5c + -35ce + 0 + 30de = 0 + -7d 5c + -35ce + 30de = 0 + -7d Remove the zero: 5c + -35ce + 30de = -7d Add '-30de' to each side of the equation. 5c + -35ce + 30de + -30de = -7d + -30de Combine like terms: 30de + -30de = 0 5c + -35ce + 0 = -7d + -30de 5c + -35ce = -7d + -30de Reorder the terms: 5c + -35ce + 7d + 30de = -7d + 7d + -30de + 30de Combine like terms: -7d + 7d = 0 5c + -35ce + 7d + 30de = 0 + -30de + 30de 5c + -35ce + 7d + 30de = -30de + 30de Combine like terms: -30de + 30de = 0 5c + -35ce + 7d + 30de = 0 The solution to this equation could not be determined.
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