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Simplifying 5 + -7k = -4(k + 3) + -1 Reorder the terms: 5 + -7k = -4(3 + k) + -1 5 + -7k = (3 * -4 + k * -4) + -1 5 + -7k = (-12 + -4k) + -1 Reorder the terms: 5 + -7k = -12 + -1 + -4k Combine like terms: -12 + -1 = -13 5 + -7k = -13 + -4k Solving 5 + -7k = -13 + -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 = -13 + -4k + 4k Combine like terms: -7k + 4k = -3k 5 + -3k = -13 + -4k + 4k Combine like terms: -4k + 4k = 0 5 + -3k = -13 + 0 5 + -3k = -13 Add '-5' to each side of the equation. 5 + -5 + -3k = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -3k = -13 + -5 -3k = -13 + -5 Combine like terms: -13 + -5 = -18 -3k = -18 Divide each side by '-3'. k = 6 Simplifying k = 6
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