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Simplifying k + -4 + 7k = 4(k + 1) Reorder the terms: -4 + k + 7k = 4(k + 1) Combine like terms: k + 7k = 8k -4 + 8k = 4(k + 1) Reorder the terms: -4 + 8k = 4(1 + k) -4 + 8k = (1 * 4 + k * 4) -4 + 8k = (4 + 4k) Solving -4 + 8k = 4 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -4 + 8k + -4k = 4 + 4k + -4k Combine like terms: 8k + -4k = 4k -4 + 4k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 -4 + 4k = 4 + 0 -4 + 4k = 4 Add '4' to each side of the equation. -4 + 4 + 4k = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 4k = 4 + 4 4k = 4 + 4 Combine like terms: 4 + 4 = 8 4k = 8 Divide each side by '4'. k = 2 Simplifying k = 2
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