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Simplifying -7(k + 5) = 3k + -8k + -1 Reorder the terms: -7(5 + k) = 3k + -8k + -1 (5 * -7 + k * -7) = 3k + -8k + -1 (-35 + -7k) = 3k + -8k + -1 Reorder the terms: -35 + -7k = -1 + 3k + -8k Combine like terms: 3k + -8k = -5k -35 + -7k = -1 + -5k Solving -35 + -7k = -1 + -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 + -7k + 5k = -1 + -5k + 5k Combine like terms: -7k + 5k = -2k -35 + -2k = -1 + -5k + 5k Combine like terms: -5k + 5k = 0 -35 + -2k = -1 + 0 -35 + -2k = -1 Add '35' to each side of the equation. -35 + 35 + -2k = -1 + 35 Combine like terms: -35 + 35 = 0 0 + -2k = -1 + 35 -2k = -1 + 35 Combine like terms: -1 + 35 = 34 -2k = 34 Divide each side by '-2'. k = -17 Simplifying k = -17
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