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Simplifying 19 + 6k = -3 + -2(1 + -7k) 19 + 6k = -3 + (1 * -2 + -7k * -2) 19 + 6k = -3 + (-2 + 14k) Combine like terms: -3 + -2 = -5 19 + 6k = -5 + 14k Solving 19 + 6k = -5 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. 19 + 6k + -14k = -5 + 14k + -14k Combine like terms: 6k + -14k = -8k 19 + -8k = -5 + 14k + -14k Combine like terms: 14k + -14k = 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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