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Simplifying 2(-5 + -6k) = 32 (-5 * 2 + -6k * 2) = 32 (-10 + -12k) = 32 Solving -10 + -12k = 32 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 + -12k = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -12k = 32 + 10 -12k = 32 + 10 Combine like terms: 32 + 10 = 42 -12k = 42 Divide each side by '-12'. k = -3.5 Simplifying k = -3.5
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