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Simplifying 3k + 12 = 4(k + 5) Reorder the terms: 12 + 3k = 4(k + 5) Reorder the terms: 12 + 3k = 4(5 + k) 12 + 3k = (5 * 4 + k * 4) 12 + 3k = (20 + 4k) Solving 12 + 3k = 20 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 12 + 3k + -4k = 20 + 4k + -4k Combine like terms: 3k + -4k = -1k 12 + -1k = 20 + 4k + -4k Combine like terms: 4k + -4k = 0 12 + -1k = 20 + 0 12 + -1k = 20 Add '-12' to each side of the equation. 12 + -12 + -1k = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -1k = 20 + -12 -1k = 20 + -12 Combine like terms: 20 + -12 = 8 -1k = 8 Divide each side by '-1'. k = -8 Simplifying k = -8
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