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Simplifying 2k + 3(2k + -3) = 45 Reorder the terms: 2k + 3(-3 + 2k) = 45 2k + (-3 * 3 + 2k * 3) = 45 2k + (-9 + 6k) = 45 Reorder the terms: -9 + 2k + 6k = 45 Combine like terms: 2k + 6k = 8k -9 + 8k = 45 Solving -9 + 8k = 45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8k = 45 + 9 Combine like terms: -9 + 9 = 0 0 + 8k = 45 + 9 8k = 45 + 9 Combine like terms: 45 + 9 = 54 8k = 54 Divide each side by '8'. k = 6.75 Simplifying k = 6.75
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