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Simplifying -3(4k + 4) + -4(k + -4) = 0 Reorder the terms: -3(4 + 4k) + -4(k + -4) = 0 (4 * -3 + 4k * -3) + -4(k + -4) = 0 (-12 + -12k) + -4(k + -4) = 0 Reorder the terms: -12 + -12k + -4(-4 + k) = 0 -12 + -12k + (-4 * -4 + k * -4) = 0 -12 + -12k + (16 + -4k) = 0 Reorder the terms: -12 + 16 + -12k + -4k = 0 Combine like terms: -12 + 16 = 4 4 + -12k + -4k = 0 Combine like terms: -12k + -4k = -16k 4 + -16k = 0 Solving 4 + -16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -16k = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -16k = 0 + -4 -16k = 0 + -4 Combine like terms: 0 + -4 = -4 -16k = -4 Divide each side by '-16'. k = 0.25 Simplifying k = 0.25
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