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Simplifying 10k + -38 = 4k + 4 Reorder the terms: -38 + 10k = 4k + 4 Reorder the terms: -38 + 10k = 4 + 4k Solving -38 + 10k = 4 + 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. -38 + 10k + -4k = 4 + 4k + -4k Combine like terms: 10k + -4k = 6k -38 + 6k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 -38 + 6k = 4 + 0 -38 + 6k = 4 Add '38' to each side of the equation. -38 + 38 + 6k = 4 + 38 Combine like terms: -38 + 38 = 0 0 + 6k = 4 + 38 6k = 4 + 38 Combine like terms: 4 + 38 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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