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Simplifying 9 + (4k) = (k * 2) + -1 Reorder the terms for easier multiplication: 9 + (4k) = (2k) + -1 Reorder the terms: 9 + (4k) = -1 + (2k) Solving 9 + (4k) = -1 + (2k) Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '(-2k)' to each side of the equation. 9 + (4k) + (-2k) = -1 + (2k) + (-2k) Combine like terms: (4k) + (-2k) = 2k 9 + 2k = -1 + (2k) + (-2k) Combine like terms: (2k) + (-2k) = 0 9 + 2k = -1 + 0 9 + 2k = -1 Add '-9' to each side of the equation. 9 + -9 + 2k = -1 + -9 Combine like terms: 9 + -9 = 0 0 + 2k = -1 + -9 2k = -1 + -9 Combine like terms: -1 + -9 = -10 2k = -10 Divide each side by '2'. k = -5 Simplifying k = -5
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