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Simplifying 5(8c + -1) + -12 = 38c + 5 Reorder the terms: 5(-1 + 8c) + -12 = 38c + 5 (-1 * 5 + 8c * 5) + -12 = 38c + 5 (-5 + 40c) + -12 = 38c + 5 Reorder the terms: -5 + -12 + 40c = 38c + 5 Combine like terms: -5 + -12 = -17 -17 + 40c = 38c + 5 Reorder the terms: -17 + 40c = 5 + 38c Solving -17 + 40c = 5 + 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. -17 + 40c + -38c = 5 + 38c + -38c Combine like terms: 40c + -38c = 2c -17 + 2c = 5 + 38c + -38c Combine like terms: 38c + -38c = 0 -17 + 2c = 5 + 0 -17 + 2c = 5 Add '17' to each side of the equation. -17 + 17 + 2c = 5 + 17 Combine like terms: -17 + 17 = 0 0 + 2c = 5 + 17 2c = 5 + 17 Combine like terms: 5 + 17 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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