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Simplifying 14(3c + -6) = 7c + -9 Reorder the terms: 14(-6 + 3c) = 7c + -9 (-6 * 14 + 3c * 14) = 7c + -9 (-84 + 42c) = 7c + -9 Reorder the terms: -84 + 42c = -9 + 7c Solving -84 + 42c = -9 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -84 + 42c + -7c = -9 + 7c + -7c Combine like terms: 42c + -7c = 35c -84 + 35c = -9 + 7c + -7c Combine like terms: 7c + -7c = 0 -84 + 35c = -9 + 0 -84 + 35c = -9 Add '84' to each side of the equation. -84 + 84 + 35c = -9 + 84 Combine like terms: -84 + 84 = 0 0 + 35c = -9 + 84 35c = -9 + 84 Combine like terms: -9 + 84 = 75 35c = 75 Divide each side by '35'. c = 2.142857143 Simplifying c = 2.142857143
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