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Simplifying 12c + -13e + -1(2e + 3c) + (4e + -1(3c + -2e)) = 0 Reorder the terms: 12c + -13e + -1(3c + 2e) + (4e + -1(3c + -2e)) = 0 12c + -13e + (3c * -1 + 2e * -1) + (4e + -1(3c + -2e)) = 0 12c + -13e + (-3c + -2e) + (4e + -1(3c + -2e)) = 0 12c + -13e + -3c + -2e + (4e + (3c * -1 + -2e * -1)) = 0 12c + -13e + -3c + -2e + (4e + (-3c + 2e)) = 0 Reorder the terms: 12c + -13e + -3c + -2e + (-3c + 4e + 2e) = 0 Combine like terms: 4e + 2e = 6e 12c + -13e + -3c + -2e + (-3c + 6e) = 0 Remove parenthesis around (-3c + 6e) 12c + -13e + -3c + -2e + -3c + 6e = 0 Reorder the terms: 12c + -3c + -3c + -13e + -2e + 6e = 0 Combine like terms: 12c + -3c = 9c 9c + -3c + -13e + -2e + 6e = 0 Combine like terms: 9c + -3c = 6c 6c + -13e + -2e + 6e = 0 Combine like terms: -13e + -2e = -15e 6c + -15e + 6e = 0 Combine like terms: -15e + 6e = -9e 6c + -9e = 0 Solving 6c + -9e = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9e' to each side of the equation. 6c + -9e + 9e = 0 + 9e Combine like terms: -9e + 9e = 0 6c + 0 = 0 + 9e 6c = 0 + 9e Remove the zero: 6c = 9e Divide each side by '6'. c = 1.5e Simplifying c = 1.5e
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