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Simplifying 4(c + 12) = 6(k + 2) Reorder the terms: 4(12 + c) = 6(k + 2) (12 * 4 + c * 4) = 6(k + 2) (48 + 4c) = 6(k + 2) Reorder the terms: 48 + 4c = 6(2 + k) 48 + 4c = (2 * 6 + k * 6) 48 + 4c = (12 + 6k) Solving 48 + 4c = 12 + 6k Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 4c = 12 + -48 + 6k Combine like terms: 48 + -48 = 0 0 + 4c = 12 + -48 + 6k 4c = 12 + -48 + 6k Combine like terms: 12 + -48 = -36 4c = -36 + 6k Divide each side by '4'. c = -9 + 1.5k Simplifying c = -9 + 1.5k
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