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Simplifying 3(4k + -3) + -4(k + -3) = 0 Reorder the terms: 3(-3 + 4k) + -4(k + -3) = 0 (-3 * 3 + 4k * 3) + -4(k + -3) = 0 (-9 + 12k) + -4(k + -3) = 0 Reorder the terms: -9 + 12k + -4(-3 + k) = 0 -9 + 12k + (-3 * -4 + k * -4) = 0 -9 + 12k + (12 + -4k) = 0 Reorder the terms: -9 + 12 + 12k + -4k = 0 Combine like terms: -9 + 12 = 3 3 + 12k + -4k = 0 Combine like terms: 12k + -4k = 8k 3 + 8k = 0 Solving 3 + 8k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8k = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8k = 0 + -3 8k = 0 + -3 Combine like terms: 0 + -3 = -3 8k = -3 Divide each side by '8'. k = -0.375 Simplifying k = -0.375
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