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Simplifying -30 + 4k = k + -3k Combine like terms: k + -3k = -2k -30 + 4k = -2k Solving -30 + 4k = -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -30 + 4k + 2k = -2k + 2k Combine like terms: 4k + 2k = 6k -30 + 6k = -2k + 2k Combine like terms: -2k + 2k = 0 -30 + 6k = 0 Add '30' to each side of the equation. -30 + 30 + 6k = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 6k = 0 + 30 6k = 0 + 30 Combine like terms: 0 + 30 = 30 6k = 30 Divide each side by '6'. k = 5 Simplifying k = 5
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