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Simplifying 0.25(-12k + 48) = 3 + 13k Reorder the terms: 0.25(48 + -12k) = 3 + 13k (48 * 0.25 + -12k * 0.25) = 3 + 13k (12 + -3k) = 3 + 13k Solving 12 + -3k = 3 + 13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13k' to each side of the equation. 12 + -3k + -13k = 3 + 13k + -13k Combine like terms: -3k + -13k = -16k 12 + -16k = 3 + 13k + -13k Combine like terms: 13k + -13k = 0 12 + -16k = 3 + 0 12 + -16k = 3 Add '-12' to each side of the equation. 12 + -12 + -16k = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -16k = 3 + -12 -16k = 3 + -12 Combine like terms: 3 + -12 = -9 -16k = -9 Divide each side by '-16'. k = 0.5625 Simplifying k = 0.5625
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