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Simplifying 36 + -2k = 7 + -7(k + -2) Reorder the terms: 36 + -2k = 7 + -7(-2 + k) 36 + -2k = 7 + (-2 * -7 + k * -7) 36 + -2k = 7 + (14 + -7k) Combine like terms: 7 + 14 = 21 36 + -2k = 21 + -7k Solving 36 + -2k = 21 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. 36 + -2k + 7k = 21 + -7k + 7k Combine like terms: -2k + 7k = 5k 36 + 5k = 21 + -7k + 7k Combine like terms: -7k + 7k = 0 36 + 5k = 21 + 0 36 + 5k = 21 Add '-36' to each side of the equation. 36 + -36 + 5k = 21 + -36 Combine like terms: 36 + -36 = 0 0 + 5k = 21 + -36 5k = 21 + -36 Combine like terms: 21 + -36 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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