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Simplifying -20 + 5k = 3(4 + 3k) -20 + 5k = (4 * 3 + 3k * 3) -20 + 5k = (12 + 9k) Solving -20 + 5k = 12 + 9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9k' to each side of the equation. -20 + 5k + -9k = 12 + 9k + -9k Combine like terms: 5k + -9k = -4k -20 + -4k = 12 + 9k + -9k Combine like terms: 9k + -9k = 0 -20 + -4k = 12 + 0 -20 + -4k = 12 Add '20' to each side of the equation. -20 + 20 + -4k = 12 + 20 Combine like terms: -20 + 20 = 0 0 + -4k = 12 + 20 -4k = 12 + 20 Combine like terms: 12 + 20 = 32 -4k = 32 Divide each side by '-4'. k = -8 Simplifying k = -8
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