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Simplifying c + -71 = -1c + -7 Reorder the terms: -71 + c = -1c + -7 Reorder the terms: -71 + c = -7 + -1c Solving -71 + c = -7 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -71 + c + c = -7 + -1c + c Combine like terms: c + c = 2c -71 + 2c = -7 + -1c + c Combine like terms: -1c + c = 0 -71 + 2c = -7 + 0 -71 + 2c = -7 Add '71' to each side of the equation. -71 + 71 + 2c = -7 + 71 Combine like terms: -71 + 71 = 0 0 + 2c = -7 + 71 2c = -7 + 71 Combine like terms: -7 + 71 = 64 2c = 64 Divide each side by '2'. c = 32 Simplifying c = 32
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