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