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Simplifying 3(k + -4) + 5k = 6 + -1k Reorder the terms: 3(-4 + k) + 5k = 6 + -1k (-4 * 3 + k * 3) + 5k = 6 + -1k (-12 + 3k) + 5k = 6 + -1k Combine like terms: 3k + 5k = 8k -12 + 8k = 6 + -1k Solving -12 + 8k = 6 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -12 + 8k + k = 6 + -1k + k Combine like terms: 8k + k = 9k -12 + 9k = 6 + -1k + k Combine like terms: -1k + k = 0 -12 + 9k = 6 + 0 -12 + 9k = 6 Add '12' to each side of the equation. -12 + 12 + 9k = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = 6 + 12 9k = 6 + 12 Combine like terms: 6 + 12 = 18 9k = 18 Divide each side by '9'. k = 2 Simplifying k = 2
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