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Simplifying 13k + 5 = k + -7(k + -2) Reorder the terms: 5 + 13k = k + -7(k + -2) Reorder the terms: 5 + 13k = k + -7(-2 + k) 5 + 13k = k + (-2 * -7 + k * -7) 5 + 13k = k + (14 + -7k) Reorder the terms: 5 + 13k = 14 + k + -7k Combine like terms: k + -7k = -6k 5 + 13k = 14 + -6k Solving 5 + 13k = 14 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 5 + 13k + 6k = 14 + -6k + 6k Combine like terms: 13k + 6k = 19k 5 + 19k = 14 + -6k + 6k Combine like terms: -6k + 6k = 0 5 + 19k = 14 + 0 5 + 19k = 14 Add '-5' to each side of the equation. 5 + -5 + 19k = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 19k = 14 + -5 19k = 14 + -5 Combine like terms: 14 + -5 = 9 19k = 9 Divide each side by '19'. k = 0.4736842105 Simplifying k = 0.4736842105
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