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Simplifying 5(k + -4) + -1(9 + -3k) = 7k Reorder the terms: 5(-4 + k) + -1(9 + -3k) = 7k (-4 * 5 + k * 5) + -1(9 + -3k) = 7k (-20 + 5k) + -1(9 + -3k) = 7k -20 + 5k + (9 * -1 + -3k * -1) = 7k -20 + 5k + (-9 + 3k) = 7k Reorder the terms: -20 + -9 + 5k + 3k = 7k Combine like terms: -20 + -9 = -29 -29 + 5k + 3k = 7k Combine like terms: 5k + 3k = 8k -29 + 8k = 7k Solving -29 + 8k = 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. -29 + 8k + -7k = 7k + -7k Combine like terms: 8k + -7k = 1k -29 + 1k = 7k + -7k Combine like terms: 7k + -7k = 0 -29 + 1k = 0 Add '29' to each side of the equation. -29 + 29 + 1k = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 1k = 0 + 29 1k = 0 + 29 Combine like terms: 0 + 29 = 29 1k = 29 Divide each side by '1'. k = 29 Simplifying k = 29
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