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Simplifying -4k + -48 = -1k + 81 Reorder the terms: -48 + -4k = -1k + 81 Reorder the terms: -48 + -4k = 81 + -1k Solving -48 + -4k = 81 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -48 + -4k + k = 81 + -1k + k Combine like terms: -4k + k = -3k -48 + -3k = 81 + -1k + k Combine like terms: -1k + k = 0 -48 + -3k = 81 + 0 -48 + -3k = 81 Add '48' to each side of the equation. -48 + 48 + -3k = 81 + 48 Combine like terms: -48 + 48 = 0 0 + -3k = 81 + 48 -3k = 81 + 48 Combine like terms: 81 + 48 = 129 -3k = 129 Divide each side by '-3'. k = -43 Simplifying k = -43
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