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Simplifying 10(4c + -1) + -10 = 38c + 10 Reorder the terms: 10(-1 + 4c) + -10 = 38c + 10 (-1 * 10 + 4c * 10) + -10 = 38c + 10 (-10 + 40c) + -10 = 38c + 10 Reorder the terms: -10 + -10 + 40c = 38c + 10 Combine like terms: -10 + -10 = -20 -20 + 40c = 38c + 10 Reorder the terms: -20 + 40c = 10 + 38c Solving -20 + 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. -20 + 40c + -38c = 10 + 38c + -38c Combine like terms: 40c + -38c = 2c -20 + 2c = 10 + 38c + -38c Combine like terms: 38c + -38c = 0 -20 + 2c = 10 + 0 -20 + 2c = 10 Add '20' to each side of the equation. -20 + 20 + 2c = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 2c = 10 + 20 2c = 10 + 20 Combine like terms: 10 + 20 = 30 2c = 30 Divide each side by '2'. c = 15 Simplifying c = 15
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