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Simplifying 1.25k + -3(0.25k + 6) = 12 Reorder the terms: 1.25k + -3(6 + 0.25k) = 12 1.25k + (6 * -3 + 0.25k * -3) = 12 1.25k + (-18 + -0.75k) = 12 Reorder the terms: -18 + 1.25k + -0.75k = 12 Combine like terms: 1.25k + -0.75k = 0.5k -18 + 0.5k = 12 Solving -18 + 0.5k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 0.5k = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 0.5k = 12 + 18 0.5k = 12 + 18 Combine like terms: 12 + 18 = 30 0.5k = 30 Divide each side by '0.5'. k = 60 Simplifying k = 60
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