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Simplifying k + -3 = -4k + 7 Reorder the terms: -3 + k = -4k + 7 Reorder the terms: -3 + k = 7 + -4k Solving -3 + k = 7 + -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. -3 + k + 4k = 7 + -4k + 4k Combine like terms: k + 4k = 5k -3 + 5k = 7 + -4k + 4k Combine like terms: -4k + 4k = 0 -3 + 5k = 7 + 0 -3 + 5k = 7 Add '3' to each side of the equation. -3 + 3 + 5k = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 5k = 7 + 3 5k = 7 + 3 Combine like terms: 7 + 3 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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