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Simplifying (k + 3) + -1(3k + -5) = 0 Reorder the terms: (3 + k) + -1(3k + -5) = 0 Remove parenthesis around (3 + k) 3 + k + -1(3k + -5) = 0 Reorder the terms: 3 + k + -1(-5 + 3k) = 0 3 + k + (-5 * -1 + 3k * -1) = 0 3 + k + (5 + -3k) = 0 Reorder the terms: 3 + 5 + k + -3k = 0 Combine like terms: 3 + 5 = 8 8 + k + -3k = 0 Combine like terms: k + -3k = -2k 8 + -2k = 0 Solving 8 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2k = 0 + -8 -2k = 0 + -8 Combine like terms: 0 + -8 = -8 -2k = -8 Divide each side by '-2'. k = 4 Simplifying k = 4
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