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Simplifying 6.25k + 27.75 + 5k = -18 + -4k Reorder the terms: 27.75 + 6.25k + 5k = -18 + -4k Combine like terms: 6.25k + 5k = 11.25k 27.75 + 11.25k = -18 + -4k Solving 27.75 + 11.25k = -18 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 27.75 + 11.25k + 4k = -18 + -4k + 4k Combine like terms: 11.25k + 4k = 15.25k 27.75 + 15.25k = -18 + -4k + 4k Combine like terms: -4k + 4k = 0 27.75 + 15.25k = -18 + 0 27.75 + 15.25k = -18 Add '-27.75' to each side of the equation. 27.75 + -27.75 + 15.25k = -18 + -27.75 Combine like terms: 27.75 + -27.75 = 0.00 0.00 + 15.25k = -18 + -27.75 15.25k = -18 + -27.75 Combine like terms: -18 + -27.75 = -45.75 15.25k = -45.75 Divide each side by '15.25'. k = -3 Simplifying k = -3
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