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Simplifying -8(3k + -6) = 18 + 2k Reorder the terms: -8(-6 + 3k) = 18 + 2k (-6 * -8 + 3k * -8) = 18 + 2k (48 + -24k) = 18 + 2k Solving 48 + -24k = 18 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 48 + -24k + -2k = 18 + 2k + -2k Combine like terms: -24k + -2k = -26k 48 + -26k = 18 + 2k + -2k Combine like terms: 2k + -2k = 0 48 + -26k = 18 + 0 48 + -26k = 18 Add '-48' to each side of the equation. 48 + -48 + -26k = 18 + -48 Combine like terms: 48 + -48 = 0 0 + -26k = 18 + -48 -26k = 18 + -48 Combine like terms: 18 + -48 = -30 -26k = -30 Divide each side by '-26'. k = 1.153846154 Simplifying k = 1.153846154
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