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Simplifying (9k + -4) + -1(-3k + 2) = 0 Reorder the terms: (-4 + 9k) + -1(-3k + 2) = 0 Remove parenthesis around (-4 + 9k) -4 + 9k + -1(-3k + 2) = 0 Reorder the terms: -4 + 9k + -1(2 + -3k) = 0 -4 + 9k + (2 * -1 + -3k * -1) = 0 -4 + 9k + (-2 + 3k) = 0 Reorder the terms: -4 + -2 + 9k + 3k = 0 Combine like terms: -4 + -2 = -6 -6 + 9k + 3k = 0 Combine like terms: 9k + 3k = 12k -6 + 12k = 0 Solving -6 + 12k = 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 + 12k = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 12k = 0 + 6 12k = 0 + 6 Combine like terms: 0 + 6 = 6 12k = 6 Divide each side by '12'. k = 0.5 Simplifying k = 0.5
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