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Simplifying 6(2.25k + -5.5) = 10.5 + -1k Reorder the terms: 6(-5.5 + 2.25k) = 10.5 + -1k (-5.5 * 6 + 2.25k * 6) = 10.5 + -1k (-33 + 13.5k) = 10.5 + -1k Solving -33 + 13.5k = 10.5 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -33 + 13.5k + k = 10.5 + -1k + k Combine like terms: 13.5k + k = 14.5k -33 + 14.5k = 10.5 + -1k + k Combine like terms: -1k + k = 0 -33 + 14.5k = 10.5 + 0 -33 + 14.5k = 10.5 Add '33' to each side of the equation. -33 + 33 + 14.5k = 10.5 + 33 Combine like terms: -33 + 33 = 0 0 + 14.5k = 10.5 + 33 14.5k = 10.5 + 33 Combine like terms: 10.5 + 33 = 43.5 14.5k = 43.5 Divide each side by '14.5'. k = 3 Simplifying k = 3
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