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Simplifying 3(6c + -2) + 4(1 + -5e) = e Reorder the terms: 3(-2 + 6c) + 4(1 + -5e) = e (-2 * 3 + 6c * 3) + 4(1 + -5e) = e (-6 + 18c) + 4(1 + -5e) = e -6 + 18c + (1 * 4 + -5e * 4) = e -6 + 18c + (4 + -20e) = e Reorder the terms: -6 + 4 + 18c + -20e = e Combine like terms: -6 + 4 = -2 -2 + 18c + -20e = e Solving -2 + 18c + -20e = e Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 18c + 2 + -20e = 2 + e Reorder the terms: -2 + 2 + 18c + -20e = 2 + e Combine like terms: -2 + 2 = 0 0 + 18c + -20e = 2 + e 18c + -20e = 2 + e Add '20e' to each side of the equation. 18c + -20e + 20e = 2 + e + 20e Combine like terms: -20e + 20e = 0 18c + 0 = 2 + e + 20e 18c = 2 + e + 20e Combine like terms: e + 20e = 21e 18c = 2 + 21e Divide each side by '18'. c = 0.1111111111 + 1.166666667e Simplifying c = 0.1111111111 + 1.166666667e
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