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Simplifying c + -1(5c + -1) = -47 Reorder the terms: c + -1(-1 + 5c) = -47 c + (-1 * -1 + 5c * -1) = -47 c + (1 + -5c) = -47 Reorder the terms: 1 + c + -5c = -47 Combine like terms: c + -5c = -4c 1 + -4c = -47 Solving 1 + -4c = -47 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4c = -47 + -1 Combine like terms: 1 + -1 = 0 0 + -4c = -47 + -1 -4c = -47 + -1 Combine like terms: -47 + -1 = -48 -4c = -48 Divide each side by '-4'. c = 12 Simplifying c = 12
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