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Simplifying -4x + 2(5k + -6) = -3k + -39 Reorder the terms: -4x + 2(-6 + 5k) = -3k + -39 -4x + (-6 * 2 + 5k * 2) = -3k + -39 -4x + (-12 + 10k) = -3k + -39 Reorder the terms: -12 + 10k + -4x = -3k + -39 Reorder the terms: -12 + 10k + -4x = -39 + -3k Solving -12 + 10k + -4x = -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 + 10k + 3k + -4x = -39 + -3k + 3k Combine like terms: 10k + 3k = 13k -12 + 13k + -4x = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + 13k + -4x = -39 + 0 -12 + 13k + -4x = -39 Add '12' to each side of the equation. -12 + 13k + 12 + -4x = -39 + 12 Reorder the terms: -12 + 12 + 13k + -4x = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 13k + -4x = -39 + 12 13k + -4x = -39 + 12 Combine like terms: -39 + 12 = -27 13k + -4x = -27 Add '4x' to each side of the equation. 13k + -4x + 4x = -27 + 4x Combine like terms: -4x + 4x = 0 13k + 0 = -27 + 4x 13k = -27 + 4x Divide each side by '13'. k = -2.076923077 + 0.3076923077x Simplifying k = -2.076923077 + 0.3076923077x
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