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Simplifying 6(k + -2) + -1(5k + 9) = 3 Reorder the terms: 6(-2 + k) + -1(5k + 9) = 3 (-2 * 6 + k * 6) + -1(5k + 9) = 3 (-12 + 6k) + -1(5k + 9) = 3 Reorder the terms: -12 + 6k + -1(9 + 5k) = 3 -12 + 6k + (9 * -1 + 5k * -1) = 3 -12 + 6k + (-9 + -5k) = 3 Reorder the terms: -12 + -9 + 6k + -5k = 3 Combine like terms: -12 + -9 = -21 -21 + 6k + -5k = 3 Combine like terms: 6k + -5k = 1k -21 + 1k = 3 Solving -21 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 1k = 3 + 21 Combine like terms: -21 + 21 = 0 0 + 1k = 3 + 21 1k = 3 + 21 Combine like terms: 3 + 21 = 24 1k = 24 Divide each side by '1'. k = 24 Simplifying k = 24
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