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Simplifying 5(2c + -1) + -5 = 7c + 2 Reorder the terms: 5(-1 + 2c) + -5 = 7c + 2 (-1 * 5 + 2c * 5) + -5 = 7c + 2 (-5 + 10c) + -5 = 7c + 2 Reorder the terms: -5 + -5 + 10c = 7c + 2 Combine like terms: -5 + -5 = -10 -10 + 10c = 7c + 2 Reorder the terms: -10 + 10c = 2 + 7c Solving -10 + 10c = 2 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -10 + 10c + -7c = 2 + 7c + -7c Combine like terms: 10c + -7c = 3c -10 + 3c = 2 + 7c + -7c Combine like terms: 7c + -7c = 0 -10 + 3c = 2 + 0 -10 + 3c = 2 Add '10' to each side of the equation. -10 + 10 + 3c = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 3c = 2 + 10 3c = 2 + 10 Combine like terms: 2 + 10 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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