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Simplifying -47 = -11c + 1 + 5c + 6 Reorder the terms: -47 = 1 + 6 + -11c + 5c Combine like terms: 1 + 6 = 7 -47 = 7 + -11c + 5c Combine like terms: -11c + 5c = -6c -47 = 7 + -6c Solving -47 = 7 + -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. -47 + 6c = 7 + -6c + 6c Combine like terms: -6c + 6c = 0 -47 + 6c = 7 + 0 -47 + 6c = 7 Add '47' to each side of the equation. -47 + 47 + 6c = 7 + 47 Combine like terms: -47 + 47 = 0 0 + 6c = 7 + 47 6c = 7 + 47 Combine like terms: 7 + 47 = 54 6c = 54 Divide each side by '6'. c = 9 Simplifying c = 9
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