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Simplifying -5k + 2(5k + -6) = -3k + -39 Reorder the terms: -5k + 2(-6 + 5k) = -3k + -39 -5k + (-6 * 2 + 5k * 2) = -3k + -39 -5k + (-12 + 10k) = -3k + -39 Reorder the terms: -12 + -5k + 10k = -3k + -39 Combine like terms: -5k + 10k = 5k -12 + 5k = -3k + -39 Reorder the terms: -12 + 5k = -39 + -3k Solving -12 + 5k = -39 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -12 + 5k + 3k = -39 + -3k + 3k Combine like terms: 5k + 3k = 8k -12 + 8k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + 8k = -39 + 0 -12 + 8k = -39 Add '12' to each side of the equation. -12 + 12 + 8k = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 8k = -39 + 12 8k = -39 + 12 Combine like terms: -39 + 12 = -27 8k = -27 Divide each side by '8'. k = -3.375 Simplifying k = -3.375
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