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Simplifying 2c + -5 = 11 + 6(c + 2) Reorder the terms: -5 + 2c = 11 + 6(c + 2) Reorder the terms: -5 + 2c = 11 + 6(2 + c) -5 + 2c = 11 + (2 * 6 + c * 6) -5 + 2c = 11 + (12 + 6c) Combine like terms: 11 + 12 = 23 -5 + 2c = 23 + 6c Solving -5 + 2c = 23 + 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. -5 + 2c + -6c = 23 + 6c + -6c Combine like terms: 2c + -6c = -4c -5 + -4c = 23 + 6c + -6c Combine like terms: 6c + -6c = 0 -5 + -4c = 23 + 0 -5 + -4c = 23 Add '5' to each side of the equation. -5 + 5 + -4c = 23 + 5 Combine like terms: -5 + 5 = 0 0 + -4c = 23 + 5 -4c = 23 + 5 Combine like terms: 23 + 5 = 28 -4c = 28 Divide each side by '-4'. c = -7 Simplifying c = -7
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