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Simplifying -8(2k + -9) + 3 = 0 Reorder the terms: -8(-9 + 2k) + 3 = 0 (-9 * -8 + 2k * -8) + 3 = 0 (72 + -16k) + 3 = 0 Reorder the terms: 72 + 3 + -16k = 0 Combine like terms: 72 + 3 = 75 75 + -16k = 0 Solving 75 + -16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -16k = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -16k = 0 + -75 -16k = 0 + -75 Combine like terms: 0 + -75 = -75 -16k = -75 Divide each side by '-16'. k = 4.6875 Simplifying k = 4.6875
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