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Simplifying -5(6 + -7k) + -5 = 5 + -5k (6 * -5 + -7k * -5) + -5 = 5 + -5k (-30 + 35k) + -5 = 5 + -5k Reorder the terms: -30 + -5 + 35k = 5 + -5k Combine like terms: -30 + -5 = -35 -35 + 35k = 5 + -5k Solving -35 + 35k = 5 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -35 + 35k + 5k = 5 + -5k + 5k Combine like terms: 35k + 5k = 40k -35 + 40k = 5 + -5k + 5k Combine like terms: -5k + 5k = 0 -35 + 40k = 5 + 0 -35 + 40k = 5 Add '35' to each side of the equation. -35 + 35 + 40k = 5 + 35 Combine like terms: -35 + 35 = 0 0 + 40k = 5 + 35 40k = 5 + 35 Combine like terms: 5 + 35 = 40 40k = 40 Divide each side by '40'. k = 1 Simplifying k = 1
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