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Simplifying 10(10 + c) + 2 = 100 (10 * 10 + c * 10) + 2 = 100 (100 + 10c) + 2 = 100 Reorder the terms: 100 + 2 + 10c = 100 Combine like terms: 100 + 2 = 102 102 + 10c = 100 Solving 102 + 10c = 100 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + 10c = 100 + -102 Combine like terms: 102 + -102 = 0 0 + 10c = 100 + -102 10c = 100 + -102 Combine like terms: 100 + -102 = -2 10c = -2 Divide each side by '10'. c = -0.2 Simplifying c = -0.2
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