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Simplifying -5 = k + 3 + 3k Reorder the terms: -5 = 3 + k + 3k Combine like terms: k + 3k = 4k -5 = 3 + 4k Solving -5 = 3 + 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. -5 + -4k = 3 + 4k + -4k Combine like terms: 4k + -4k = 0 -5 + -4k = 3 + 0 -5 + -4k = 3 Add '5' to each side of the equation. -5 + 5 + -4k = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -4k = 3 + 5 -4k = 3 + 5 Combine like terms: 3 + 5 = 8 -4k = 8 Divide each side by '-4'. k = -2 Simplifying k = -2
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