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Simplifying 3(4k + 9) + -4(5 + 3) = 0 Reorder the terms: 3(9 + 4k) + -4(5 + 3) = 0 (9 * 3 + 4k * 3) + -4(5 + 3) = 0 (27 + 12k) + -4(5 + 3) = 0 Combine like terms: 5 + 3 = 8 27 + 12k + -4(8) = 0 Multiply -4 * 8 27 + 12k + -32 = 0 Reorder the terms: 27 + -32 + 12k = 0 Combine like terms: 27 + -32 = -5 -5 + 12k = 0 Solving -5 + 12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 12k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12k = 0 + 5 12k = 0 + 5 Combine like terms: 0 + 5 = 5 12k = 5 Divide each side by '12'. k = 0.4166666667 Simplifying k = 0.4166666667
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