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Simplifying 5(8c + -1) + -2 = 38c + 5 Reorder the terms: 5(-1 + 8c) + -2 = 38c + 5 (-1 * 5 + 8c * 5) + -2 = 38c + 5 (-5 + 40c) + -2 = 38c + 5 Reorder the terms: -5 + -2 + 40c = 38c + 5 Combine like terms: -5 + -2 = -7 -7 + 40c = 38c + 5 Reorder the terms: -7 + 40c = 5 + 38c Solving -7 + 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. -7 + 40c + -38c = 5 + 38c + -38c Combine like terms: 40c + -38c = 2c -7 + 2c = 5 + 38c + -38c Combine like terms: 38c + -38c = 0 -7 + 2c = 5 + 0 -7 + 2c = 5 Add '7' to each side of the equation. -7 + 7 + 2c = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 5 + 7 2c = 5 + 7 Combine like terms: 5 + 7 = 12 2c = 12 Divide each side by '2'. c = 6 Simplifying c = 6
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