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Simplifying 3(2k + -3) + (4 + -5k) = 0 Reorder the terms: 3(-3 + 2k) + (4 + -5k) = 0 (-3 * 3 + 2k * 3) + (4 + -5k) = 0 (-9 + 6k) + (4 + -5k) = 0 Remove parenthesis around (4 + -5k) -9 + 6k + 4 + -5k = 0 Reorder the terms: -9 + 4 + 6k + -5k = 0 Combine like terms: -9 + 4 = -5 -5 + 6k + -5k = 0 Combine like terms: 6k + -5k = 1k -5 + 1k = 0 Solving -5 + 1k = 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 + 1k = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1k = 0 + 5 1k = 0 + 5 Combine like terms: 0 + 5 = 5 1k = 5 Divide each side by '1'. k = 5 Simplifying k = 5
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