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Simplifying 3(5k + -8) + -2(k + -6) = 0 Reorder the terms: 3(-8 + 5k) + -2(k + -6) = 0 (-8 * 3 + 5k * 3) + -2(k + -6) = 0 (-24 + 15k) + -2(k + -6) = 0 Reorder the terms: -24 + 15k + -2(-6 + k) = 0 -24 + 15k + (-6 * -2 + k * -2) = 0 -24 + 15k + (12 + -2k) = 0 Reorder the terms: -24 + 12 + 15k + -2k = 0 Combine like terms: -24 + 12 = -12 -12 + 15k + -2k = 0 Combine like terms: 15k + -2k = 13k -12 + 13k = 0 Solving -12 + 13k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 13k = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 13k = 0 + 12 13k = 0 + 12 Combine like terms: 0 + 12 = 12 13k = 12 Divide each side by '13'. k = 0.9230769231 Simplifying k = 0.9230769231
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