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Simplifying -3(5k + -2) + 8 = 0 Reorder the terms: -3(-2 + 5k) + 8 = 0 (-2 * -3 + 5k * -3) + 8 = 0 (6 + -15k) + 8 = 0 Reorder the terms: 6 + 8 + -15k = 0 Combine like terms: 6 + 8 = 14 14 + -15k = 0 Solving 14 + -15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -15k = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -15k = 0 + -14 -15k = 0 + -14 Combine like terms: 0 + -14 = -14 -15k = -14 Divide each side by '-15'. k = 0.9333333333 Simplifying k = 0.9333333333
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