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Simplifying 102 + -6k = 4k + 12 Reorder the terms: 102 + -6k = 12 + 4k Solving 102 + -6k = 12 + 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. 102 + -6k + -4k = 12 + 4k + -4k Combine like terms: -6k + -4k = -10k 102 + -10k = 12 + 4k + -4k Combine like terms: 4k + -4k = 0 102 + -10k = 12 + 0 102 + -10k = 12 Add '-102' to each side of the equation. 102 + -102 + -10k = 12 + -102 Combine like terms: 102 + -102 = 0 0 + -10k = 12 + -102 -10k = 12 + -102 Combine like terms: 12 + -102 = -90 -10k = -90 Divide each side by '-10'. k = 9 Simplifying k = 9
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