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Simplifying -5 + 0.75k = -1 + 0.25k Solving -5 + 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. -5 + 0.75k + -0.25k = -1 + 0.25k + -0.25k Combine like terms: 0.75k + -0.25k = 0.5k -5 + 0.5k = -1 + 0.25k + -0.25k Combine like terms: 0.25k + -0.25k = 0.00 -5 + 0.5k = -1 + 0.00 -5 + 0.5k = -1 Add '5' to each side of the equation. -5 + 5 + 0.5k = -1 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5k = -1 + 5 0.5k = -1 + 5 Combine like terms: -1 + 5 = 4 0.5k = 4 Divide each side by '0.5'. k = 8 Simplifying k = 8
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