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Simplifying (3k + -4) + -1(5k + 2) = 0 Reorder the terms: (-4 + 3k) + -1(5k + 2) = 0 Remove parenthesis around (-4 + 3k) -4 + 3k + -1(5k + 2) = 0 Reorder the terms: -4 + 3k + -1(2 + 5k) = 0 -4 + 3k + (2 * -1 + 5k * -1) = 0 -4 + 3k + (-2 + -5k) = 0 Reorder the terms: -4 + -2 + 3k + -5k = 0 Combine like terms: -4 + -2 = -6 -6 + 3k + -5k = 0 Combine like terms: 3k + -5k = -2k -6 + -2k = 0 Solving -6 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -2k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2k = 0 + 6 -2k = 0 + 6 Combine like terms: 0 + 6 = 6 -2k = 6 Divide each side by '-2'. k = -3 Simplifying k = -3
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