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Simplifying 3(k + -5) = 2(7 + -2k) + -6 Reorder the terms: 3(-5 + k) = 2(7 + -2k) + -6 (-5 * 3 + k * 3) = 2(7 + -2k) + -6 (-15 + 3k) = 2(7 + -2k) + -6 -15 + 3k = (7 * 2 + -2k * 2) + -6 -15 + 3k = (14 + -4k) + -6 Reorder the terms: -15 + 3k = 14 + -6 + -4k Combine like terms: 14 + -6 = 8 -15 + 3k = 8 + -4k Solving -15 + 3k = 8 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -15 + 3k + 4k = 8 + -4k + 4k Combine like terms: 3k + 4k = 7k -15 + 7k = 8 + -4k + 4k Combine like terms: -4k + 4k = 0 -15 + 7k = 8 + 0 -15 + 7k = 8 Add '15' to each side of the equation. -15 + 15 + 7k = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 7k = 8 + 15 7k = 8 + 15 Combine like terms: 8 + 15 = 23 7k = 23 Divide each side by '7'. k = 3.285714286 Simplifying k = 3.285714286
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