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Simplifying 6(k + -4) + -1(-5k + -4) = 10k Reorder the terms: 6(-4 + k) + -1(-5k + -4) = 10k (-4 * 6 + k * 6) + -1(-5k + -4) = 10k (-24 + 6k) + -1(-5k + -4) = 10k Reorder the terms: -24 + 6k + -1(-4 + -5k) = 10k -24 + 6k + (-4 * -1 + -5k * -1) = 10k -24 + 6k + (4 + 5k) = 10k Reorder the terms: -24 + 4 + 6k + 5k = 10k Combine like terms: -24 + 4 = -20 -20 + 6k + 5k = 10k Combine like terms: 6k + 5k = 11k -20 + 11k = 10k Solving -20 + 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. -20 + 11k + -10k = 10k + -10k Combine like terms: 11k + -10k = 1k -20 + 1k = 10k + -10k Combine like terms: 10k + -10k = 0 -20 + 1k = 0 Add '20' to each side of the equation. -20 + 20 + 1k = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1k = 0 + 20 1k = 0 + 20 Combine like terms: 0 + 20 = 20 1k = 20 Divide each side by '1'. k = 20 Simplifying k = 20
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