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Simplifying 19 = 1 + -5k + -7 Reorder the terms: 19 = 1 + -7 + -5k Combine like terms: 1 + -7 = -6 19 = -6 + -5k Solving 19 = -6 + -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. 19 + 5k = -6 + -5k + 5k Combine like terms: -5k + 5k = 0 19 + 5k = -6 + 0 19 + 5k = -6 Add '-19' to each side of the equation. 19 + -19 + 5k = -6 + -19 Combine like terms: 19 + -19 = 0 0 + 5k = -6 + -19 5k = -6 + -19 Combine like terms: -6 + -19 = -25 5k = -25 Divide each side by '5'. k = -5 Simplifying k = -5
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