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Simplifying 6k + 5(k + -2) = 78 Reorder the terms: 6k + 5(-2 + k) = 78 6k + (-2 * 5 + k * 5) = 78 6k + (-10 + 5k) = 78 Reorder the terms: -10 + 6k + 5k = 78 Combine like terms: 6k + 5k = 11k -10 + 11k = 78 Solving -10 + 11k = 78 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 11k = 78 + 10 Combine like terms: -10 + 10 = 0 0 + 11k = 78 + 10 11k = 78 + 10 Combine like terms: 78 + 10 = 88 11k = 88 Divide each side by '11'. k = 8 Simplifying k = 8
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