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Simplifying 5c * 6 + 7 * 12 = 11c * 18 + -1 * 6 Reorder the terms for easier multiplication: 5 * 6c + 7 * 12 = 11c * 18 + -1 * 6 Multiply 5 * 6 30c + 7 * 12 = 11c * 18 + -1 * 6 Multiply 7 * 12 30c + 84 = 11c * 18 + -1 * 6 Reorder the terms: 84 + 30c = 11c * 18 + -1 * 6 Reorder the terms for easier multiplication: 84 + 30c = 11 * 18c + -1 * 6 Multiply 11 * 18 84 + 30c = 198c + -1 * 6 Multiply -1 * 6 84 + 30c = 198c + -6 Reorder the terms: 84 + 30c = -6 + 198c Solving 84 + 30c = -6 + 198c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-198c' to each side of the equation. 84 + 30c + -198c = -6 + 198c + -198c Combine like terms: 30c + -198c = -168c 84 + -168c = -6 + 198c + -198c Combine like terms: 198c + -198c = 0 84 + -168c = -6 + 0 84 + -168c = -6 Add '-84' to each side of the equation. 84 + -84 + -168c = -6 + -84 Combine like terms: 84 + -84 = 0 0 + -168c = -6 + -84 -168c = -6 + -84 Combine like terms: -6 + -84 = -90 -168c = -90 Divide each side by '-168'. c = 0.5357142857 Simplifying c = 0.5357142857
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