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Simplifying -5(k + 6) = -8k + -3 Reorder the terms: -5(6 + k) = -8k + -3 (6 * -5 + k * -5) = -8k + -3 (-30 + -5k) = -8k + -3 Reorder the terms: -30 + -5k = -3 + -8k Solving -30 + -5k = -3 + -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. -30 + -5k + 8k = -3 + -8k + 8k Combine like terms: -5k + 8k = 3k -30 + 3k = -3 + -8k + 8k Combine like terms: -8k + 8k = 0 -30 + 3k = -3 + 0 -30 + 3k = -3 Add '30' to each side of the equation. -30 + 30 + 3k = -3 + 30 Combine like terms: -30 + 30 = 0 0 + 3k = -3 + 30 3k = -3 + 30 Combine like terms: -3 + 30 = 27 3k = 27 Divide each side by '3'. k = 9 Simplifying k = 9
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