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Simplifying c + -309 = 8c + 6 Reorder the terms: -309 + c = 8c + 6 Reorder the terms: -309 + c = 6 + 8c Solving -309 + c = 6 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -309 + c + -8c = 6 + 8c + -8c Combine like terms: c + -8c = -7c -309 + -7c = 6 + 8c + -8c Combine like terms: 8c + -8c = 0 -309 + -7c = 6 + 0 -309 + -7c = 6 Add '309' to each side of the equation. -309 + 309 + -7c = 6 + 309 Combine like terms: -309 + 309 = 0 0 + -7c = 6 + 309 -7c = 6 + 309 Combine like terms: 6 + 309 = 315 -7c = 315 Divide each side by '-7'. c = -45 Simplifying c = -45
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