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Simplifying 7(k + 3) + -1(-4k + -4) = 10k Reorder the terms: 7(3 + k) + -1(-4k + -4) = 10k (3 * 7 + k * 7) + -1(-4k + -4) = 10k (21 + 7k) + -1(-4k + -4) = 10k Reorder the terms: 21 + 7k + -1(-4 + -4k) = 10k 21 + 7k + (-4 * -1 + -4k * -1) = 10k 21 + 7k + (4 + 4k) = 10k Reorder the terms: 21 + 4 + 7k + 4k = 10k Combine like terms: 21 + 4 = 25 25 + 7k + 4k = 10k Combine like terms: 7k + 4k = 11k 25 + 11k = 10k Solving 25 + 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. 25 + 11k + -10k = 10k + -10k Combine like terms: 11k + -10k = 1k 25 + 1k = 10k + -10k Combine like terms: 10k + -10k = 0 25 + 1k = 0 Add '-25' to each side of the equation. 25 + -25 + 1k = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 1k = 0 + -25 1k = 0 + -25 Combine like terms: 0 + -25 = -25 1k = -25 Divide each side by '1'. k = -25 Simplifying k = -25
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