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Simplifying -4k + 2(5k + -6) = -13k + -39 Reorder the terms: -4k + 2(-6 + 5k) = -13k + -39 -4k + (-6 * 2 + 5k * 2) = -13k + -39 -4k + (-12 + 10k) = -13k + -39 Reorder the terms: -12 + -4k + 10k = -13k + -39 Combine like terms: -4k + 10k = 6k -12 + 6k = -13k + -39 Reorder the terms: -12 + 6k = -39 + -13k Solving -12 + 6k = -39 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. -12 + 6k + 13k = -39 + -13k + 13k Combine like terms: 6k + 13k = 19k -12 + 19k = -39 + -13k + 13k Combine like terms: -13k + 13k = 0 -12 + 19k = -39 + 0 -12 + 19k = -39 Add '12' to each side of the equation. -12 + 12 + 19k = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 19k = -39 + 12 19k = -39 + 12 Combine like terms: -39 + 12 = -27 19k = -27 Divide each side by '19'. k = -1.421052632 Simplifying k = -1.421052632
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