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Simplifying 0.75k + -6 = 0.25k + 1 Reorder the terms: -6 + 0.75k = 0.25k + 1 Reorder the terms: -6 + 0.75k = 1 + 0.25k Solving -6 + 0.75k = 1 + 0.25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.25k' to each side of the equation. -6 + 0.75k + -0.25k = 1 + 0.25k + -0.25k Combine like terms: 0.75k + -0.25k = 0.5k -6 + 0.5k = 1 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 -6 + 0.5k = 1 + 0.00 -6 + 0.5k = 1 Add '6' to each side of the equation. -6 + 6 + 0.5k = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 0.5k = 1 + 6 0.5k = 1 + 6 Combine like terms: 1 + 6 = 7 0.5k = 7 Divide each side by '0.5'. k = 14 Simplifying k = 14
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