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Simplifying 0.25(-16k + 52) = 49 + 12k Reorder the terms: 0.25(52 + -16k) = 49 + 12k (52 * 0.25 + -16k * 0.25) = 49 + 12k (13 + -4k) = 49 + 12k Solving 13 + -4k = 49 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 13 + -4k + -12k = 49 + 12k + -12k Combine like terms: -4k + -12k = -16k 13 + -16k = 49 + 12k + -12k Combine like terms: 12k + -12k = 0 13 + -16k = 49 + 0 13 + -16k = 49 Add '-13' to each side of the equation. 13 + -13 + -16k = 49 + -13 Combine like terms: 13 + -13 = 0 0 + -16k = 49 + -13 -16k = 49 + -13 Combine like terms: 49 + -13 = 36 -16k = 36 Divide each side by '-16'. k = -2.25 Simplifying k = -2.25
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