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Simplifying 19 + 7k = -5(1 + -3k) 19 + 7k = (1 * -5 + -3k * -5) 19 + 7k = (-5 + 15k) Solving 19 + 7k = -5 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 19 + 7k + -15k = -5 + 15k + -15k Combine like terms: 7k + -15k = -8k 19 + -8k = -5 + 15k + -15k Combine like terms: 15k + -15k = 0 19 + -8k = -5 + 0 19 + -8k = -5 Add '-19' to each side of the equation. 19 + -19 + -8k = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -8k = -5 + -19 -8k = -5 + -19 Combine like terms: -5 + -19 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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