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Simplifying 10 + 6(8 + k) = 0 10 + (8 * 6 + k * 6) = 0 10 + (48 + 6k) = 0 Combine like terms: 10 + 48 = 58 58 + 6k = 0 Solving 58 + 6k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + 6k = 0 + -58 Combine like terms: 58 + -58 = 0 0 + 6k = 0 + -58 6k = 0 + -58 Combine like terms: 0 + -58 = -58 6k = -58 Divide each side by '6'. k = -9.666666667 Simplifying k = -9.666666667
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