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Simplifying 12c + 11c + -3(10c + 12) = 0 Reorder the terms: 12c + 11c + -3(12 + 10c) = 0 12c + 11c + (12 * -3 + 10c * -3) = 0 12c + 11c + (-36 + -30c) = 0 Reorder the terms: -36 + 12c + 11c + -30c = 0 Combine like terms: 12c + 11c = 23c -36 + 23c + -30c = 0 Combine like terms: 23c + -30c = -7c -36 + -7c = 0 Solving -36 + -7c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -7c = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -7c = 0 + 36 -7c = 0 + 36 Combine like terms: 0 + 36 = 36 -7c = 36 Divide each side by '-7'. c = -5.142857143 Simplifying c = -5.142857143
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