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Simplifying 7(k + 4) + -1(-4k + -3) = 10k Reorder the terms: 7(4 + k) + -1(-4k + -3) = 10k (4 * 7 + k * 7) + -1(-4k + -3) = 10k (28 + 7k) + -1(-4k + -3) = 10k Reorder the terms: 28 + 7k + -1(-3 + -4k) = 10k 28 + 7k + (-3 * -1 + -4k * -1) = 10k 28 + 7k + (3 + 4k) = 10k Reorder the terms: 28 + 3 + 7k + 4k = 10k Combine like terms: 28 + 3 = 31 31 + 7k + 4k = 10k Combine like terms: 7k + 4k = 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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