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Simplifying 3(k + -3) = 5k + 6 + -7k Reorder the terms: 3(-3 + k) = 5k + 6 + -7k (-3 * 3 + k * 3) = 5k + 6 + -7k (-9 + 3k) = 5k + 6 + -7k Reorder the terms: -9 + 3k = 6 + 5k + -7k Combine like terms: 5k + -7k = -2k -9 + 3k = 6 + -2k Solving -9 + 3k = 6 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. -9 + 3k + 2k = 6 + -2k + 2k Combine like terms: 3k + 2k = 5k -9 + 5k = 6 + -2k + 2k Combine like terms: -2k + 2k = 0 -9 + 5k = 6 + 0 -9 + 5k = 6 Add '9' to each side of the equation. -9 + 9 + 5k = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 5k = 6 + 9 5k = 6 + 9 Combine like terms: 6 + 9 = 15 5k = 15 Divide each side by '5'. k = 3 Simplifying k = 3
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