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Simplifying c + -315 = -6c + -7 Reorder the terms: -315 + c = -6c + -7 Reorder the terms: -315 + c = -7 + -6c Solving -315 + c = -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. -315 + c + 6c = -7 + -6c + 6c Combine like terms: c + 6c = 7c -315 + 7c = -7 + -6c + 6c Combine like terms: -6c + 6c = 0 -315 + 7c = -7 + 0 -315 + 7c = -7 Add '315' to each side of the equation. -315 + 315 + 7c = -7 + 315 Combine like terms: -315 + 315 = 0 0 + 7c = -7 + 315 7c = -7 + 315 Combine like terms: -7 + 315 = 308 7c = 308 Divide each side by '7'. c = 44 Simplifying c = 44
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