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Simplifying 9 + -4(2k + -1) = 45 Reorder the terms: 9 + -4(-1 + 2k) = 45 9 + (-1 * -4 + 2k * -4) = 45 9 + (4 + -8k) = 45 Combine like terms: 9 + 4 = 13 13 + -8k = 45 Solving 13 + -8k = 45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8k = 45 + -13 Combine like terms: 13 + -13 = 0 0 + -8k = 45 + -13 -8k = 45 + -13 Combine like terms: 45 + -13 = 32 -8k = 32 Divide each side by '-8'. k = -4 Simplifying k = -4
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