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Simplifying 2k + -2 + c = -8 + -4c + -1 Reorder the terms: -2 + c + 2k = -8 + -4c + -1 Reorder the terms: -2 + c + 2k = -8 + -1 + -4c Combine like terms: -8 + -1 = -9 -2 + c + 2k = -9 + -4c Solving -2 + c + 2k = -9 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. -2 + c + 4c + 2k = -9 + -4c + 4c Combine like terms: c + 4c = 5c -2 + 5c + 2k = -9 + -4c + 4c Combine like terms: -4c + 4c = 0 -2 + 5c + 2k = -9 + 0 -2 + 5c + 2k = -9 Add '2' to each side of the equation. -2 + 5c + 2 + 2k = -9 + 2 Reorder the terms: -2 + 2 + 5c + 2k = -9 + 2 Combine like terms: -2 + 2 = 0 0 + 5c + 2k = -9 + 2 5c + 2k = -9 + 2 Combine like terms: -9 + 2 = -7 5c + 2k = -7 Add '-2k' to each side of the equation. 5c + 2k + -2k = -7 + -2k Combine like terms: 2k + -2k = 0 5c + 0 = -7 + -2k 5c = -7 + -2k Divide each side by '5'. c = -1.4 + -0.4k Simplifying c = -1.4 + -0.4k
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