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Simplifying 4k + 2(5k + -6) = -3 + -39 Reorder the terms: 4k + 2(-6 + 5k) = -3 + -39 4k + (-6 * 2 + 5k * 2) = -3 + -39 4k + (-12 + 10k) = -3 + -39 Reorder the terms: -12 + 4k + 10k = -3 + -39 Combine like terms: 4k + 10k = 14k -12 + 14k = -3 + -39 Combine like terms: -3 + -39 = -42 -12 + 14k = -42 Solving -12 + 14k = -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 + 14k = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 14k = -42 + 12 14k = -42 + 12 Combine like terms: -42 + 12 = -30 14k = -30 Divide each side by '14'. k = -2.142857143 Simplifying k = -2.142857143
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