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Simplifying 10(3c + -1) + -4 = 28c + 10 Reorder the terms: 10(-1 + 3c) + -4 = 28c + 10 (-1 * 10 + 3c * 10) + -4 = 28c + 10 (-10 + 30c) + -4 = 28c + 10 Reorder the terms: -10 + -4 + 30c = 28c + 10 Combine like terms: -10 + -4 = -14 -14 + 30c = 28c + 10 Reorder the terms: -14 + 30c = 10 + 28c Solving -14 + 30c = 10 + 28c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28c' to each side of the equation. -14 + 30c + -28c = 10 + 28c + -28c Combine like terms: 30c + -28c = 2c -14 + 2c = 10 + 28c + -28c Combine like terms: 28c + -28c = 0 -14 + 2c = 10 + 0 -14 + 2c = 10 Add '14' to each side of the equation. -14 + 14 + 2c = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2c = 10 + 14 2c = 10 + 14 Combine like terms: 10 + 14 = 24 2c = 24 Divide each side by '2'. c = 12 Simplifying c = 12
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