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Simplifying -2(-7 + 4k) + 9 = -13 (-7 * -2 + 4k * -2) + 9 = -13 (14 + -8k) + 9 = -13 Reorder the terms: 14 + 9 + -8k = -13 Combine like terms: 14 + 9 = 23 23 + -8k = -13 Solving 23 + -8k = -13 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -8k = -13 + -23 Combine like terms: 23 + -23 = 0 0 + -8k = -13 + -23 -8k = -13 + -23 Combine like terms: -13 + -23 = -36 -8k = -36 Divide each side by '-8'. k = 4.5 Simplifying k = 4.5
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