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Simplifying -5 + -2(6k + 8) = 0 Reorder the terms: -5 + -2(8 + 6k) = 0 -5 + (8 * -2 + 6k * -2) = 0 -5 + (-16 + -12k) = 0 Combine like terms: -5 + -16 = -21 -21 + -12k = 0 Solving -21 + -12k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -12k = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -12k = 0 + 21 -12k = 0 + 21 Combine like terms: 0 + 21 = 21 -12k = 21 Divide each side by '-12'. k = -1.75 Simplifying k = -1.75
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