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Simplifying 19k + 5 = k + -7 Reorder the terms: 5 + 19k = k + -7 Reorder the terms: 5 + 19k = -7 + k Solving 5 + 19k = -7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 5 + 19k + -1k = -7 + k + -1k Combine like terms: 19k + -1k = 18k 5 + 18k = -7 + k + -1k Combine like terms: k + -1k = 0 5 + 18k = -7 + 0 5 + 18k = -7 Add '-5' to each side of the equation. 5 + -5 + 18k = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 18k = -7 + -5 18k = -7 + -5 Combine like terms: -7 + -5 = -12 18k = -12 Divide each side by '18'. k = -0.6666666667 Simplifying k = -0.6666666667
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