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Simplifying 8(5c + -1) + -12 = 38c + 8 Reorder the terms: 8(-1 + 5c) + -12 = 38c + 8 (-1 * 8 + 5c * 8) + -12 = 38c + 8 (-8 + 40c) + -12 = 38c + 8 Reorder the terms: -8 + -12 + 40c = 38c + 8 Combine like terms: -8 + -12 = -20 -20 + 40c = 38c + 8 Reorder the terms: -20 + 40c = 8 + 38c Solving -20 + 40c = 8 + 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 = 8 + 38c + -38c Combine like terms: 40c + -38c = 2c -20 + 2c = 8 + 38c + -38c Combine like terms: 38c + -38c = 0 -20 + 2c = 8 + 0 -20 + 2c = 8 Add '20' to each side of the equation. -20 + 20 + 2c = 8 + 20 Combine like terms: -20 + 20 = 0 0 + 2c = 8 + 20 2c = 8 + 20 Combine like terms: 8 + 20 = 28 2c = 28 Divide each side by '2'. c = 14 Simplifying c = 14
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