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Simplifying 9(k + -3) + -1(8k + 3) = 3 Reorder the terms: 9(-3 + k) + -1(8k + 3) = 3 (-3 * 9 + k * 9) + -1(8k + 3) = 3 (-27 + 9k) + -1(8k + 3) = 3 Reorder the terms: -27 + 9k + -1(3 + 8k) = 3 -27 + 9k + (3 * -1 + 8k * -1) = 3 -27 + 9k + (-3 + -8k) = 3 Reorder the terms: -27 + -3 + 9k + -8k = 3 Combine like terms: -27 + -3 = -30 -30 + 9k + -8k = 3 Combine like terms: 9k + -8k = 1k -30 + 1k = 3 Solving -30 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1k = 3 + 30 Combine like terms: -30 + 30 = 0 0 + 1k = 3 + 30 1k = 3 + 30 Combine like terms: 3 + 30 = 33 1k = 33 Divide each side by '1'. k = 33 Simplifying k = 33
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