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Simplifying -5k + -8(3k + -6) = 0 Reorder the terms: -5k + -8(-6 + 3k) = 0 -5k + (-6 * -8 + 3k * -8) = 0 -5k + (48 + -24k) = 0 Reorder the terms: 48 + -5k + -24k = 0 Combine like terms: -5k + -24k = -29k 48 + -29k = 0 Solving 48 + -29k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + -29k = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -29k = 0 + -48 -29k = 0 + -48 Combine like terms: 0 + -48 = -48 -29k = -48 Divide each side by '-29'. k = 1.655172414 Simplifying k = 1.655172414
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