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Simplifying 11(c + -5) + 6 = 5 + c + -54 Reorder the terms: 11(-5 + c) + 6 = 5 + c + -54 (-5 * 11 + c * 11) + 6 = 5 + c + -54 (-55 + 11c) + 6 = 5 + c + -54 Reorder the terms: -55 + 6 + 11c = 5 + c + -54 Combine like terms: -55 + 6 = -49 -49 + 11c = 5 + c + -54 Reorder the terms: -49 + 11c = 5 + -54 + c Combine like terms: 5 + -54 = -49 -49 + 11c = -49 + c Add '49' to each side of the equation. -49 + 49 + 11c = -49 + 49 + c Combine like terms: -49 + 49 = 0 0 + 11c = -49 + 49 + c 11c = -49 + 49 + c Combine like terms: -49 + 49 = 0 11c = 0 + c 11c = c Solving 11c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 11c + -1c = c + -1c Combine like terms: 11c + -1c = 10c 10c = c + -1c Combine like terms: c + -1c = 0 10c = 0 Divide each side by '10'. c = 0.0 Simplifying c = 0.0
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