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Simplifying 12c + 16c + 19c + -41 + 16c + -18 + 125 + 22c + -48 + 10c + 27 = 900 Reorder the terms: -41 + -18 + 125 + -48 + 27 + 12c + 16c + 19c + 16c + 22c + 10c = 900 Combine like terms: -41 + -18 = -59 -59 + 125 + -48 + 27 + 12c + 16c + 19c + 16c + 22c + 10c = 900 Combine like terms: -59 + 125 = 66 66 + -48 + 27 + 12c + 16c + 19c + 16c + 22c + 10c = 900 Combine like terms: 66 + -48 = 18 18 + 27 + 12c + 16c + 19c + 16c + 22c + 10c = 900 Combine like terms: 18 + 27 = 45 45 + 12c + 16c + 19c + 16c + 22c + 10c = 900 Combine like terms: 12c + 16c = 28c 45 + 28c + 19c + 16c + 22c + 10c = 900 Combine like terms: 28c + 19c = 47c 45 + 47c + 16c + 22c + 10c = 900 Combine like terms: 47c + 16c = 63c 45 + 63c + 22c + 10c = 900 Combine like terms: 63c + 22c = 85c 45 + 85c + 10c = 900 Combine like terms: 85c + 10c = 95c 45 + 95c = 900 Solving 45 + 95c = 900 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 95c = 900 + -45 Combine like terms: 45 + -45 = 0 0 + 95c = 900 + -45 95c = 900 + -45 Combine like terms: 900 + -45 = 855 95c = 855 Divide each side by '95'. c = 9 Simplifying c = 9
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