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Simplifying 13 + -3k = 2(1 + -7k) 13 + -3k = (1 * 2 + -7k * 2) 13 + -3k = (2 + -14k) Solving 13 + -3k = 2 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. 13 + -3k + 14k = 2 + -14k + 14k Combine like terms: -3k + 14k = 11k 13 + 11k = 2 + -14k + 14k Combine like terms: -14k + 14k = 0 13 + 11k = 2 + 0 13 + 11k = 2 Add '-13' to each side of the equation. 13 + -13 + 11k = 2 + -13 Combine like terms: 13 + -13 = 0 0 + 11k = 2 + -13 11k = 2 + -13 Combine like terms: 2 + -13 = -11 11k = -11 Divide each side by '11'. k = -1 Simplifying k = -1
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