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Simplifying 4(k + 12) = 2c + 18 Reorder the terms: 4(12 + k) = 2c + 18 (12 * 4 + k * 4) = 2c + 18 (48 + 4k) = 2c + 18 Reorder the terms: 48 + 4k = 18 + 2c Solving 48 + 4k = 18 + 2c Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 4k = 18 + -48 + 2c Combine like terms: 48 + -48 = 0 0 + 4k = 18 + -48 + 2c 4k = 18 + -48 + 2c Combine like terms: 18 + -48 = -30 4k = -30 + 2c Divide each side by '4'. k = -7.5 + 0.5c Simplifying k = -7.5 + 0.5c
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