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Simplifying -3 + k + 8 + -8 = 1 + -3k Reorder the terms: -3 + 8 + -8 + k = 1 + -3k Combine like terms: -3 + 8 = 5 5 + -8 + k = 1 + -3k Combine like terms: 5 + -8 = -3 -3 + k = 1 + -3k Solving -3 + k = 1 + -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 + k + 3k = 1 + -3k + 3k Combine like terms: k + 3k = 4k -3 + 4k = 1 + -3k + 3k Combine like terms: -3k + 3k = 0 -3 + 4k = 1 + 0 -3 + 4k = 1 Add '3' to each side of the equation. -3 + 3 + 4k = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 4k = 1 + 3 4k = 1 + 3 Combine like terms: 1 + 3 = 4 4k = 4 Divide each side by '4'. k = 1 Simplifying k = 1
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