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Simplifying (1k + 3) + -1(3k + 5) = 0 Reorder the terms: (3 + 1k) + -1(3k + 5) = 0 Remove parenthesis around (3 + 1k) 3 + 1k + -1(3k + 5) = 0 Reorder the terms: 3 + 1k + -1(5 + 3k) = 0 3 + 1k + (5 * -1 + 3k * -1) = 0 3 + 1k + (-5 + -3k) = 0 Reorder the terms: 3 + -5 + 1k + -3k = 0 Combine like terms: 3 + -5 = -2 -2 + 1k + -3k = 0 Combine like terms: 1k + -3k = -2k -2 + -2k = 0 Solving -2 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -2k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2k = 0 + 2 -2k = 0 + 2 Combine like terms: 0 + 2 = 2 -2k = 2 Divide each side by '-2'. k = -1 Simplifying k = -1
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