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Simplifying -4k + (5k + -6) = 3k + -39 Reorder the terms: -4k + (-6 + 5k) = 3k + -39 Remove parenthesis around (-6 + 5k) -4k + -6 + 5k = 3k + -39 Reorder the terms: -6 + -4k + 5k = 3k + -39 Combine like terms: -4k + 5k = 1k -6 + 1k = 3k + -39 Reorder the terms: -6 + 1k = -39 + 3k Solving -6 + 1k = -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. -6 + 1k + -3k = -39 + 3k + -3k Combine like terms: 1k + -3k = -2k -6 + -2k = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 -6 + -2k = -39 + 0 -6 + -2k = -39 Add '6' to each side of the equation. -6 + 6 + -2k = -39 + 6 Combine like terms: -6 + 6 = 0 0 + -2k = -39 + 6 -2k = -39 + 6 Combine like terms: -39 + 6 = -33 -2k = -33 Divide each side by '-2'. k = 16.5 Simplifying k = 16.5
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