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Simplifying 6(k + -5) + -1(1 + -5k) = 10k Reorder the terms: 6(-5 + k) + -1(1 + -5k) = 10k (-5 * 6 + k * 6) + -1(1 + -5k) = 10k (-30 + 6k) + -1(1 + -5k) = 10k -30 + 6k + (1 * -1 + -5k * -1) = 10k -30 + 6k + (-1 + 5k) = 10k Reorder the terms: -30 + -1 + 6k + 5k = 10k Combine like terms: -30 + -1 = -31 -31 + 6k + 5k = 10k Combine like terms: 6k + 5k = 11k -31 + 11k = 10k Solving -31 + 11k = 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -31 + 11k + -10k = 10k + -10k Combine like terms: 11k + -10k = 1k -31 + 1k = 10k + -10k Combine like terms: 10k + -10k = 0 -31 + 1k = 0 Add '31' to each side of the equation. -31 + 31 + 1k = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 1k = 0 + 31 1k = 0 + 31 Combine like terms: 0 + 31 = 31 1k = 31 Divide each side by '1'. k = 31 Simplifying k = 31

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