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Simplifying 2k + -4(2k + -3) = 45 Reorder the terms: 2k + -4(-3 + 2k) = 45 2k + (-3 * -4 + 2k * -4) = 45 2k + (12 + -8k) = 45 Reorder the terms: 12 + 2k + -8k = 45 Combine like terms: 2k + -8k = -6k 12 + -6k = 45 Solving 12 + -6k = 45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -6k = 45 + -12 Combine like terms: 12 + -12 = 0 0 + -6k = 45 + -12 -6k = 45 + -12 Combine like terms: 45 + -12 = 33 -6k = 33 Divide each side by '-6'. k = -5.5 Simplifying k = -5.5
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