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Simplifying -3(4k + 2) + -4(k + -1) = 0 Reorder the terms: -3(2 + 4k) + -4(k + -1) = 0 (2 * -3 + 4k * -3) + -4(k + -1) = 0 (-6 + -12k) + -4(k + -1) = 0 Reorder the terms: -6 + -12k + -4(-1 + k) = 0 -6 + -12k + (-1 * -4 + k * -4) = 0 -6 + -12k + (4 + -4k) = 0 Reorder the terms: -6 + 4 + -12k + -4k = 0 Combine like terms: -6 + 4 = -2 -2 + -12k + -4k = 0 Combine like terms: -12k + -4k = -16k -2 + -16k = 0 Solving -2 + -16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -16k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -16k = 0 + 2 -16k = 0 + 2 Combine like terms: 0 + 2 = 2 -16k = 2 Divide each side by '-16'. k = -0.125 Simplifying k = -0.125
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