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Simplifying 5(12) + 20(k) = 30(12 + k) Multiply 5 * 12 60 + 20(k) = 30(12 + k) 60 + 20k = (12 * 30 + k * 30) 60 + 20k = (360 + 30k) Solving 60 + 20k = 360 + 30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30k' to each side of the equation. 60 + 20k + -30k = 360 + 30k + -30k Combine like terms: 20k + -30k = -10k 60 + -10k = 360 + 30k + -30k Combine like terms: 30k + -30k = 0 60 + -10k = 360 + 0 60 + -10k = 360 Add '-60' to each side of the equation. 60 + -60 + -10k = 360 + -60 Combine like terms: 60 + -60 = 0 0 + -10k = 360 + -60 -10k = 360 + -60 Combine like terms: 360 + -60 = 300 -10k = 300 Divide each side by '-10'. k = -30 Simplifying k = -30
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