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Simplifying -5k + 19 = -5(1 + 7k) + -6 Reorder the terms: 19 + -5k = -5(1 + 7k) + -6 19 + -5k = (1 * -5 + 7k * -5) + -6 19 + -5k = (-5 + -35k) + -6 Reorder the terms: 19 + -5k = -5 + -6 + -35k Combine like terms: -5 + -6 = -11 19 + -5k = -11 + -35k Solving 19 + -5k = -11 + -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. 19 + -5k + 35k = -11 + -35k + 35k Combine like terms: -5k + 35k = 30k 19 + 30k = -11 + -35k + 35k Combine like terms: -35k + 35k = 0 19 + 30k = -11 + 0 19 + 30k = -11 Add '-19' to each side of the equation. 19 + -19 + 30k = -11 + -19 Combine like terms: 19 + -19 = 0 0 + 30k = -11 + -19 30k = -11 + -19 Combine like terms: -11 + -19 = -30 30k = -30 Divide each side by '30'. k = -1 Simplifying k = -1
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