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Simplifying c + -274 = 7c + -4 Reorder the terms: -274 + c = 7c + -4 Reorder the terms: -274 + c = -4 + 7c Solving -274 + c = -4 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -274 + c + -7c = -4 + 7c + -7c Combine like terms: c + -7c = -6c -274 + -6c = -4 + 7c + -7c Combine like terms: 7c + -7c = 0 -274 + -6c = -4 + 0 -274 + -6c = -4 Add '274' to each side of the equation. -274 + 274 + -6c = -4 + 274 Combine like terms: -274 + 274 = 0 0 + -6c = -4 + 274 -6c = -4 + 274 Combine like terms: -4 + 274 = 270 -6c = 270 Divide each side by '-6'. c = -45 Simplifying c = -45
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