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Simplifying -3(2 + 6k) + -4 = -2(7k + -3) + -5k (2 * -3 + 6k * -3) + -4 = -2(7k + -3) + -5k (-6 + -18k) + -4 = -2(7k + -3) + -5k Reorder the terms: -6 + -4 + -18k = -2(7k + -3) + -5k Combine like terms: -6 + -4 = -10 -10 + -18k = -2(7k + -3) + -5k Reorder the terms: -10 + -18k = -2(-3 + 7k) + -5k -10 + -18k = (-3 * -2 + 7k * -2) + -5k -10 + -18k = (6 + -14k) + -5k Combine like terms: -14k + -5k = -19k -10 + -18k = 6 + -19k Solving -10 + -18k = 6 + -19k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19k' to each side of the equation. -10 + -18k + 19k = 6 + -19k + 19k Combine like terms: -18k + 19k = 1k -10 + 1k = 6 + -19k + 19k Combine like terms: -19k + 19k = 0 -10 + 1k = 6 + 0 -10 + 1k = 6 Add '10' to each side of the equation. -10 + 10 + 1k = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 1k = 6 + 10 1k = 6 + 10 Combine like terms: 6 + 10 = 16 1k = 16 Divide each side by '1'. k = 16 Simplifying k = 16
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