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Simplifying -4k + -6(5k + -8) = -30 + -8k Reorder the terms: -4k + -6(-8 + 5k) = -30 + -8k -4k + (-8 * -6 + 5k * -6) = -30 + -8k -4k + (48 + -30k) = -30 + -8k Reorder the terms: 48 + -4k + -30k = -30 + -8k Combine like terms: -4k + -30k = -34k 48 + -34k = -30 + -8k Solving 48 + -34k = -30 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 48 + -34k + 8k = -30 + -8k + 8k Combine like terms: -34k + 8k = -26k 48 + -26k = -30 + -8k + 8k Combine like terms: -8k + 8k = 0 48 + -26k = -30 + 0 48 + -26k = -30 Add '-48' to each side of the equation. 48 + -48 + -26k = -30 + -48 Combine like terms: 48 + -48 = 0 0 + -26k = -30 + -48 -26k = -30 + -48 Combine like terms: -30 + -48 = -78 -26k = -78 Divide each side by '-26'. k = 3 Simplifying k = 3
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