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Simplifying 2k + -3(2x + -3) = 45 Reorder the terms: 2k + -3(-3 + 2x) = 45 2k + (-3 * -3 + 2x * -3) = 45 2k + (9 + -6x) = 45 Reorder the terms: 9 + 2k + -6x = 45 Solving 9 + 2k + -6x = 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 + 2k + -9 + -6x = 45 + -9 Reorder the terms: 9 + -9 + 2k + -6x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 2k + -6x = 45 + -9 2k + -6x = 45 + -9 Combine like terms: 45 + -9 = 36 2k + -6x = 36 Add '6x' to each side of the equation. 2k + -6x + 6x = 36 + 6x Combine like terms: -6x + 6x = 0 2k + 0 = 36 + 6x 2k = 36 + 6x Divide each side by '2'. k = 18 + 3x Simplifying k = 18 + 3x
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