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Simplifying 3(3 + -4k) + 5k = -5k + -3 (3 * 3 + -4k * 3) + 5k = -5k + -3 (9 + -12k) + 5k = -5k + -3 Combine like terms: -12k + 5k = -7k 9 + -7k = -5k + -3 Reorder the terms: 9 + -7k = -3 + -5k Solving 9 + -7k = -3 + -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. 9 + -7k + 5k = -3 + -5k + 5k Combine like terms: -7k + 5k = -2k 9 + -2k = -3 + -5k + 5k Combine like terms: -5k + 5k = 0 9 + -2k = -3 + 0 9 + -2k = -3 Add '-9' to each side of the equation. 9 + -9 + -2k = -3 + -9 Combine like terms: 9 + -9 = 0 0 + -2k = -3 + -9 -2k = -3 + -9 Combine like terms: -3 + -9 = -12 -2k = -12 Divide each side by '-2'. k = 6 Simplifying k = 6
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