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Simplifying 4k + -3 = 5k + 1 Reorder the terms: -3 + 4k = 5k + 1 Reorder the terms: -3 + 4k = 1 + 5k Solving -3 + 4k = 1 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -3 + 4k + -5k = 1 + 5k + -5k Combine like terms: 4k + -5k = -1k -3 + -1k = 1 + 5k + -5k Combine like terms: 5k + -5k = 0 -3 + -1k = 1 + 0 -3 + -1k = 1 Add '3' to each side of the equation. -3 + 3 + -1k = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -1k = 1 + 3 -1k = 1 + 3 Combine like terms: 1 + 3 = 4 -1k = 4 Divide each side by '-1'. k = -4 Simplifying k = -4
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