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Simplifying 3(4k + -3) + -4(k + 5) = 0 Reorder the terms: 3(-3 + 4k) + -4(k + 5) = 0 (-3 * 3 + 4k * 3) + -4(k + 5) = 0 (-9 + 12k) + -4(k + 5) = 0 Reorder the terms: -9 + 12k + -4(5 + k) = 0 -9 + 12k + (5 * -4 + k * -4) = 0 -9 + 12k + (-20 + -4k) = 0 Reorder the terms: -9 + -20 + 12k + -4k = 0 Combine like terms: -9 + -20 = -29 -29 + 12k + -4k = 0 Combine like terms: 12k + -4k = 8k -29 + 8k = 0 Solving -29 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 8k = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 8k = 0 + 29 8k = 0 + 29 Combine like terms: 0 + 29 = 29 8k = 29 Divide each side by '8'. k = 3.625 Simplifying k = 3.625
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