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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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