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Simplifying -4k + 2(5 + -6) = 3k + -39 Combine like terms: 5 + -6 = -1 -4k + 2(-1) = 3k + -39 Multiply 2 * -1 -4k + -2 = 3k + -39 Reorder the terms: -2 + -4k = 3k + -39 Reorder the terms: -2 + -4k = -39 + 3k Solving -2 + -4k = -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. -2 + -4k + -3k = -39 + 3k + -3k Combine like terms: -4k + -3k = -7k -2 + -7k = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 -2 + -7k = -39 + 0 -2 + -7k = -39 Add '2' to each side of the equation. -2 + 2 + -7k = -39 + 2 Combine like terms: -2 + 2 = 0 0 + -7k = -39 + 2 -7k = -39 + 2 Combine like terms: -39 + 2 = -37 -7k = -37 Divide each side by '-7'. k = 5.285714286 Simplifying k = 5.285714286
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