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Simplifying -4k + 7(5k + -6) = -3k + -39 Reorder the terms: -4k + 7(-6 + 5k) = -3k + -39 -4k + (-6 * 7 + 5k * 7) = -3k + -39 -4k + (-42 + 35k) = -3k + -39 Reorder the terms: -42 + -4k + 35k = -3k + -39 Combine like terms: -4k + 35k = 31k -42 + 31k = -3k + -39 Reorder the terms: -42 + 31k = -39 + -3k Solving -42 + 31k = -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. -42 + 31k + 3k = -39 + -3k + 3k Combine like terms: 31k + 3k = 34k -42 + 34k = -39 + -3k + 3k Combine like terms: -3k + 3k = 0 -42 + 34k = -39 + 0 -42 + 34k = -39 Add '42' to each side of the equation. -42 + 42 + 34k = -39 + 42 Combine like terms: -42 + 42 = 0 0 + 34k = -39 + 42 34k = -39 + 42 Combine like terms: -39 + 42 = 3 34k = 3 Divide each side by '34'. k = 0.08823529412 Simplifying k = 0.08823529412
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