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Simplifying 39 + -3k = 4(6k + 3) Reorder the terms: 39 + -3k = 4(3 + 6k) 39 + -3k = (3 * 4 + 6k * 4) 39 + -3k = (12 + 24k) Solving 39 + -3k = 12 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 39 + -3k + -24k = 12 + 24k + -24k Combine like terms: -3k + -24k = -27k 39 + -27k = 12 + 24k + -24k Combine like terms: 24k + -24k = 0 39 + -27k = 12 + 0 39 + -27k = 12 Add '-39' to each side of the equation. 39 + -39 + -27k = 12 + -39 Combine like terms: 39 + -39 = 0 0 + -27k = 12 + -39 -27k = 12 + -39 Combine like terms: 12 + -39 = -27 -27k = -27 Divide each side by '-27'. k = 1 Simplifying k = 1
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