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Simplifying 0.5(-4k + 28) = 6 + 14k Reorder the terms: 0.5(28 + -4k) = 6 + 14k (28 * 0.5 + -4k * 0.5) = 6 + 14k (14 + -2k) = 6 + 14k Solving 14 + -2k = 6 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 14 + -2k + -14k = 6 + 14k + -14k Combine like terms: -2k + -14k = -16k 14 + -16k = 6 + 14k + -14k Combine like terms: 14k + -14k = 0 14 + -16k = 6 + 0 14 + -16k = 6 Add '-14' to each side of the equation. 14 + -14 + -16k = 6 + -14 Combine like terms: 14 + -14 = 0 0 + -16k = 6 + -14 -16k = 6 + -14 Combine like terms: 6 + -14 = -8 -16k = -8 Divide each side by '-16'. k = 0.5 Simplifying k = 0.5
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