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Simplifying 10 + -1k = 4k + -30 Reorder the terms: 10 + -1k = -30 + 4k Solving 10 + -1k = -30 + 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. 10 + -1k + -4k = -30 + 4k + -4k Combine like terms: -1k + -4k = -5k 10 + -5k = -30 + 4k + -4k Combine like terms: 4k + -4k = 0 10 + -5k = -30 + 0 10 + -5k = -30 Add '-10' to each side of the equation. 10 + -10 + -5k = -30 + -10 Combine like terms: 10 + -10 = 0 0 + -5k = -30 + -10 -5k = -30 + -10 Combine like terms: -30 + -10 = -40 -5k = -40 Divide each side by '-5'. k = 8 Simplifying k = 8
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