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Simplifying 4k + 2(5k + -6) = 3k + -39 Reorder the terms: 4k + 2(-6 + 5k) = 3k + -39 4k + (-6 * 2 + 5k * 2) = 3k + -39 4k + (-12 + 10k) = 3k + -39 Reorder the terms: -12 + 4k + 10k = 3k + -39 Combine like terms: 4k + 10k = 14k -12 + 14k = 3k + -39 Reorder the terms: -12 + 14k = -39 + 3k Solving -12 + 14k = -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 + 14k + -3k = -39 + 3k + -3k Combine like terms: 14k + -3k = 11k -12 + 11k = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 -12 + 11k = -39 + 0 -12 + 11k = -39 Add '12' to each side of the equation. -12 + 12 + 11k = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 11k = -39 + 12 11k = -39 + 12 Combine like terms: -39 + 12 = -27 11k = -27 Divide each side by '11'. k = -2.454545455 Simplifying k = -2.454545455
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