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Simplifying 2 + -1(k + 4) = 3k + -2 Reorder the terms: 2 + -1(4 + k) = 3k + -2 2 + (4 * -1 + k * -1) = 3k + -2 2 + (-4 + -1k) = 3k + -2 Combine like terms: 2 + -4 = -2 -2 + -1k = 3k + -2 Reorder the terms: -2 + -1k = -2 + 3k Add '2' to each side of the equation. -2 + 2 + -1k = -2 + 2 + 3k Combine like terms: -2 + 2 = 0 0 + -1k = -2 + 2 + 3k -1k = -2 + 2 + 3k Combine like terms: -2 + 2 = 0 -1k = 0 + 3k -1k = 3k Solving -1k = 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. -1k + -3k = 3k + -3k Combine like terms: -1k + -3k = -4k -4k = 3k + -3k Combine like terms: 3k + -3k = 0 -4k = 0 Divide each side by '-4'. k = 0 Simplifying k = 0
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