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Simplifying -5k + -19 = 86 + -29k Reorder the terms: -19 + -5k = 86 + -29k Solving -19 + -5k = 86 + -29k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '29k' to each side of the equation. -19 + -5k + 29k = 86 + -29k + 29k Combine like terms: -5k + 29k = 24k -19 + 24k = 86 + -29k + 29k Combine like terms: -29k + 29k = 0 -19 + 24k = 86 + 0 -19 + 24k = 86 Add '19' to each side of the equation. -19 + 19 + 24k = 86 + 19 Combine like terms: -19 + 19 = 0 0 + 24k = 86 + 19 24k = 86 + 19 Combine like terms: 86 + 19 = 105 24k = 105 Divide each side by '24'. k = 4.375 Simplifying k = 4.375
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