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Simplifying 5 + -7k = 4(k + 1) + -3 Reorder the terms: 5 + -7k = 4(1 + k) + -3 5 + -7k = (1 * 4 + k * 4) + -3 5 + -7k = (4 + 4k) + -3 Reorder the terms: 5 + -7k = 4 + -3 + 4k Combine like terms: 4 + -3 = 1 5 + -7k = 1 + 4k Solving 5 + -7k = 1 + 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. 5 + -7k + -4k = 1 + 4k + -4k Combine like terms: -7k + -4k = -11k 5 + -11k = 1 + 4k + -4k Combine like terms: 4k + -4k = 0 5 + -11k = 1 + 0 5 + -11k = 1 Add '-5' to each side of the equation. 5 + -5 + -11k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -11k = 1 + -5 -11k = 1 + -5 Combine like terms: 1 + -5 = -4 -11k = -4 Divide each side by '-11'. k = 0.3636363636 Simplifying k = 0.3636363636
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