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Simplifying 9k + -4(2k + 5) = 63 Reorder the terms: 9k + -4(5 + 2k) = 63 9k + (5 * -4 + 2k * -4) = 63 9k + (-20 + -8k) = 63 Reorder the terms: -20 + 9k + -8k = 63 Combine like terms: 9k + -8k = 1k -20 + 1k = 63 Solving -20 + 1k = 63 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 1k = 63 + 20 Combine like terms: -20 + 20 = 0 0 + 1k = 63 + 20 1k = 63 + 20 Combine like terms: 63 + 20 = 83 1k = 83 Divide each side by '1'. k = 83 Simplifying k = 83
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