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Simplifying (5k + 35) + -8 = 12 Reorder the terms: (35 + 5k) + -8 = 12 Remove parenthesis around (35 + 5k) 35 + 5k + -8 = 12 Reorder the terms: 35 + -8 + 5k = 12 Combine like terms: 35 + -8 = 27 27 + 5k = 12 Solving 27 + 5k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 5k = 12 + -27 Combine like terms: 27 + -27 = 0 0 + 5k = 12 + -27 5k = 12 + -27 Combine like terms: 12 + -27 = -15 5k = -15 Divide each side by '5'. k = -3 Simplifying k = -3
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