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Simplifying 47 = 6c + -7 Reorder the terms: 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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