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Simplifying 8 + -7k = 4(k + 1) Reorder the terms: 8 + -7k = 4(1 + k) 8 + -7k = (1 * 4 + k * 4) 8 + -7k = (4 + 4k) Solving 8 + -7k = 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. 8 + -7k + -4k = 4 + 4k + -4k Combine like terms: -7k + -4k = -11k 8 + -11k = 4 + 4k + -4k Combine like terms: 4k + -4k = 0 8 + -11k = 4 + 0 8 + -11k = 4 Add '-8' to each side of the equation. 8 + -8 + -11k = 4 + -8 Combine like terms: 8 + -8 = 0 0 + -11k = 4 + -8 -11k = 4 + -8 Combine like terms: 4 + -8 = -4 -11k = -4 Divide each side by '-11'. k = 0.3636363636 Simplifying k = 0.3636363636
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