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Simplifying 10(4c + -1) + -14 = 38c + 10 Reorder the terms: 10(-1 + 4c) + -14 = 38c + 10 (-1 * 10 + 4c * 10) + -14 = 38c + 10 (-10 + 40c) + -14 = 38c + 10 Reorder the terms: -10 + -14 + 40c = 38c + 10 Combine like terms: -10 + -14 = -24 -24 + 40c = 38c + 10 Reorder the terms: -24 + 40c = 10 + 38c Solving -24 + 40c = 10 + 38c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-38c' to each side of the equation. -24 + 40c + -38c = 10 + 38c + -38c Combine like terms: 40c + -38c = 2c -24 + 2c = 10 + 38c + -38c Combine like terms: 38c + -38c = 0 -24 + 2c = 10 + 0 -24 + 2c = 10 Add '24' to each side of the equation. -24 + 24 + 2c = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 2c = 10 + 24 2c = 10 + 24 Combine like terms: 10 + 24 = 34 2c = 34 Divide each side by '2'. c = 17 Simplifying c = 17
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