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Simplifying 7(k + -4) + -6k = 7 + -1 Reorder the terms: 7(-4 + k) + -6k = 7 + -1 (-4 * 7 + k * 7) + -6k = 7 + -1 (-28 + 7k) + -6k = 7 + -1 Combine like terms: 7k + -6k = 1k -28 + 1k = 7 + -1 Combine like terms: 7 + -1 = 6 -28 + 1k = 6 Solving -28 + 1k = 6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 1k = 6 + 28 Combine like terms: -28 + 28 = 0 0 + 1k = 6 + 28 1k = 6 + 28 Combine like terms: 6 + 28 = 34 1k = 34 Divide each side by '1'. k = 34 Simplifying k = 34
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