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Simplifying 0.75k + -5 = 4k + -1 Reorder the terms: -5 + 0.75k = 4k + -1 Reorder the terms: -5 + 0.75k = -1 + 4k Solving -5 + 0.75k = -1 + 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. -5 + 0.75k + -4k = -1 + 4k + -4k Combine like terms: 0.75k + -4k = -3.25k -5 + -3.25k = -1 + 4k + -4k Combine like terms: 4k + -4k = 0 -5 + -3.25k = -1 + 0 -5 + -3.25k = -1 Add '5' to each side of the equation. -5 + 5 + -3.25k = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -3.25k = -1 + 5 -3.25k = -1 + 5 Combine like terms: -1 + 5 = 4 -3.25k = 4 Divide each side by '-3.25'. k = -1.230769231 Simplifying k = -1.230769231
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