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Simplifying 6c + -3 + -11c + -8 + -1 = c + 4c + 8 + 10 Reorder the terms: -3 + -8 + -1 + 6c + -11c = c + 4c + 8 + 10 Combine like terms: -3 + -8 = -11 -11 + -1 + 6c + -11c = c + 4c + 8 + 10 Combine like terms: -11 + -1 = -12 -12 + 6c + -11c = c + 4c + 8 + 10 Combine like terms: 6c + -11c = -5c -12 + -5c = c + 4c + 8 + 10 Reorder the terms: -12 + -5c = 8 + 10 + c + 4c Combine like terms: 8 + 10 = 18 -12 + -5c = 18 + c + 4c Combine like terms: c + 4c = 5c -12 + -5c = 18 + 5c Solving -12 + -5c = 18 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -12 + -5c + -5c = 18 + 5c + -5c Combine like terms: -5c + -5c = -10c -12 + -10c = 18 + 5c + -5c Combine like terms: 5c + -5c = 0 -12 + -10c = 18 + 0 -12 + -10c = 18 Add '12' to each side of the equation. -12 + 12 + -10c = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -10c = 18 + 12 -10c = 18 + 12 Combine like terms: 18 + 12 = 30 -10c = 30 Divide each side by '-10'. c = -3 Simplifying c = -3
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