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Simplifying 7(k + 4) + -1(-4k + -4) = 10k Reorder the terms: 7(4 + k) + -1(-4k + -4) = 10k (4 * 7 + k * 7) + -1(-4k + -4) = 10k (28 + 7k) + -1(-4k + -4) = 10k Reorder the terms: 28 + 7k + -1(-4 + -4k) = 10k 28 + 7k + (-4 * -1 + -4k * -1) = 10k 28 + 7k + (4 + 4k) = 10k Reorder the terms: 28 + 4 + 7k + 4k = 10k Combine like terms: 28 + 4 = 32 32 + 7k + 4k = 10k Combine like terms: 7k + 4k = 11k 32 + 11k = 10k Solving 32 + 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. 32 + 11k + -10k = 10k + -10k Combine like terms: 11k + -10k = 1k 32 + 1k = 10k + -10k Combine like terms: 10k + -10k = 0 32 + 1k = 0 Add '-32' to each side of the equation. 32 + -32 + 1k = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 1k = 0 + -32 1k = 0 + -32 Combine like terms: 0 + -32 = -32 1k = -32 Divide each side by '1'. k = -32 Simplifying k = -32
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