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Simplifying 3(k + -5) + -1(7k + -9) = -5k Reorder the terms: 3(-5 + k) + -1(7k + -9) = -5k (-5 * 3 + k * 3) + -1(7k + -9) = -5k (-15 + 3k) + -1(7k + -9) = -5k Reorder the terms: -15 + 3k + -1(-9 + 7k) = -5k -15 + 3k + (-9 * -1 + 7k * -1) = -5k -15 + 3k + (9 + -7k) = -5k Reorder the terms: -15 + 9 + 3k + -7k = -5k Combine like terms: -15 + 9 = -6 -6 + 3k + -7k = -5k Combine like terms: 3k + -7k = -4k -6 + -4k = -5k Solving -6 + -4k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -6 + -4k + 5k = -5k + 5k Combine like terms: -4k + 5k = 1k -6 + 1k = -5k + 5k Combine like terms: -5k + 5k = 0 -6 + 1k = 0 Add '6' to each side of the equation. -6 + 6 + 1k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1k = 0 + 6 1k = 0 + 6 Combine like terms: 0 + 6 = 6 1k = 6 Divide each side by '1'. k = 6 Simplifying k = 6
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