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Simplifying 5 + -7k = 4k + 1 + -3 Reorder the terms: 5 + -7k = 1 + -3 + 4k Combine like terms: 1 + -3 = -2 5 + -7k = -2 + 4k Solving 5 + -7k = -2 + 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 = -2 + 4k + -4k Combine like terms: -7k + -4k = -11k 5 + -11k = -2 + 4k + -4k Combine like terms: 4k + -4k = 0 5 + -11k = -2 + 0 5 + -11k = -2 Add '-5' to each side of the equation. 5 + -5 + -11k = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -11k = -2 + -5 -11k = -2 + -5 Combine like terms: -2 + -5 = -7 -11k = -7 Divide each side by '-11'. k = 0.6363636364 Simplifying k = 0.6363636364
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