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Simplifying -7k + -6(-2k + -3) = 5(5 + 3k) + -7 Reorder the terms: -7k + -6(-3 + -2k) = 5(5 + 3k) + -7 -7k + (-3 * -6 + -2k * -6) = 5(5 + 3k) + -7 -7k + (18 + 12k) = 5(5 + 3k) + -7 Reorder the terms: 18 + -7k + 12k = 5(5 + 3k) + -7 Combine like terms: -7k + 12k = 5k 18 + 5k = 5(5 + 3k) + -7 18 + 5k = (5 * 5 + 3k * 5) + -7 18 + 5k = (25 + 15k) + -7 Reorder the terms: 18 + 5k = 25 + -7 + 15k Combine like terms: 25 + -7 = 18 18 + 5k = 18 + 15k Add '-18' to each side of the equation. 18 + -18 + 5k = 18 + -18 + 15k Combine like terms: 18 + -18 = 0 0 + 5k = 18 + -18 + 15k 5k = 18 + -18 + 15k Combine like terms: 18 + -18 = 0 5k = 0 + 15k 5k = 15k Solving 5k = 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 5k + -15k = 15k + -15k Combine like terms: 5k + -15k = -10k -10k = 15k + -15k Combine like terms: 15k + -15k = 0 -10k = 0 Divide each side by '-10'. k = 0.0 Simplifying k = 0.0
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