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Simplifying k + 5(k + -6) = 12 Reorder the terms: k + 5(-6 + k) = 12 k + (-6 * 5 + k * 5) = 12 k + (-30 + 5k) = 12 Reorder the terms: -30 + k + 5k = 12 Combine like terms: k + 5k = 6k -30 + 6k = 12 Solving -30 + 6k = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6k = 12 + 30 Combine like terms: -30 + 30 = 0 0 + 6k = 12 + 30 6k = 12 + 30 Combine like terms: 12 + 30 = 42 6k = 42 Divide each side by '6'. k = 7 Simplifying k = 7
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