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Simplifying -5(-8k + 7) = -3k + 8 Reorder the terms: -5(7 + -8k) = -3k + 8 (7 * -5 + -8k * -5) = -3k + 8 (-35 + 40k) = -3k + 8 Reorder the terms: -35 + 40k = 8 + -3k Solving -35 + 40k = 8 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -35 + 40k + 3k = 8 + -3k + 3k Combine like terms: 40k + 3k = 43k -35 + 43k = 8 + -3k + 3k Combine like terms: -3k + 3k = 0 -35 + 43k = 8 + 0 -35 + 43k = 8 Add '35' to each side of the equation. -35 + 35 + 43k = 8 + 35 Combine like terms: -35 + 35 = 0 0 + 43k = 8 + 35 43k = 8 + 35 Combine like terms: 8 + 35 = 43 43k = 43 Divide each side by '43'. k = 1 Simplifying k = 1
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