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Simplifying (k + -4) + (3k + 9) = 0 Reorder the terms: (-4 + k) + (3k + 9) = 0 Remove parenthesis around (-4 + k) -4 + k + (3k + 9) = 0 Reorder the terms: -4 + k + (9 + 3k) = 0 Remove parenthesis around (9 + 3k) -4 + k + 9 + 3k = 0 Reorder the terms: -4 + 9 + k + 3k = 0 Combine like terms: -4 + 9 = 5 5 + k + 3k = 0 Combine like terms: k + 3k = 4k 5 + 4k = 0 Solving 5 + 4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 0 + -5 4k = 0 + -5 Combine like terms: 0 + -5 = -5 4k = -5 Divide each side by '4'. k = -1.25 Simplifying k = -1.25
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