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Simplifying 5(2c + -11) + -5 = 6c + 2 Reorder the terms: 5(-11 + 2c) + -5 = 6c + 2 (-11 * 5 + 2c * 5) + -5 = 6c + 2 (-55 + 10c) + -5 = 6c + 2 Reorder the terms: -55 + -5 + 10c = 6c + 2 Combine like terms: -55 + -5 = -60 -60 + 10c = 6c + 2 Reorder the terms: -60 + 10c = 2 + 6c Solving -60 + 10c = 2 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -60 + 10c + -6c = 2 + 6c + -6c Combine like terms: 10c + -6c = 4c -60 + 4c = 2 + 6c + -6c Combine like terms: 6c + -6c = 0 -60 + 4c = 2 + 0 -60 + 4c = 2 Add '60' to each side of the equation. -60 + 60 + 4c = 2 + 60 Combine like terms: -60 + 60 = 0 0 + 4c = 2 + 60 4c = 2 + 60 Combine like terms: 2 + 60 = 62 4c = 62 Divide each side by '4'. c = 15.5 Simplifying c = 15.5
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