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