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Simplifying 6k + -9k + -15 + k = 4k + 39 Reorder the terms: -15 + 6k + -9k + k = 4k + 39 Combine like terms: 6k + -9k = -3k -15 + -3k + k = 4k + 39 Combine like terms: -3k + k = -2k -15 + -2k = 4k + 39 Reorder the terms: -15 + -2k = 39 + 4k Solving -15 + -2k = 39 + 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. -15 + -2k + -4k = 39 + 4k + -4k Combine like terms: -2k + -4k = -6k -15 + -6k = 39 + 4k + -4k Combine like terms: 4k + -4k = 0 -15 + -6k = 39 + 0 -15 + -6k = 39 Add '15' to each side of the equation. -15 + 15 + -6k = 39 + 15 Combine like terms: -15 + 15 = 0 0 + -6k = 39 + 15 -6k = 39 + 15 Combine like terms: 39 + 15 = 54 -6k = 54 Divide each side by '-6'. k = -9 Simplifying k = -9
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