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Simplifying 2(5k + -6) = -42 Reorder the terms: 2(-6 + 5k) = -42 (-6 * 2 + 5k * 2) = -42 (-12 + 10k) = -42 Solving -12 + 10k = -42 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10k = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 10k = -42 + 12 10k = -42 + 12 Combine like terms: -42 + 12 = -30 10k = -30 Divide each side by '10'. k = -3 Simplifying k = -3
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