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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 = -3k 5 + -3k = 1 + -4k + 4k Combine like terms: -4k + 4k = 0 5 + -3k = 1 + 0 5 + -3k = 1 Add '-5' to each side of the equation. 5 + -5 + -3k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = 1 + -5 -3k = 1 + -5 Combine like terms: 1 + -5 = -4 -3k = -4 Divide each side by '-3'. k = 1.333333333 Simplifying k = 1.333333333
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