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Simplifying -1k + 3(2k + -1) = -3k + -9 Reorder the terms: -1k + 3(-1 + 2k) = -3k + -9 -1k + (-1 * 3 + 2k * 3) = -3k + -9 -1k + (-3 + 6k) = -3k + -9 Reorder the terms: -3 + -1k + 6k = -3k + -9 Combine like terms: -1k + 6k = 5k -3 + 5k = -3k + -9 Reorder the terms: -3 + 5k = -9 + -3k Solving -3 + 5k = -9 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -3 + 5k + 3k = -9 + -3k + 3k Combine like terms: 5k + 3k = 8k -3 + 8k = -9 + -3k + 3k Combine like terms: -3k + 3k = 0 -3 + 8k = -9 + 0 -3 + 8k = -9 Add '3' to each side of the equation. -3 + 3 + 8k = -9 + 3 Combine like terms: -3 + 3 = 0 0 + 8k = -9 + 3 8k = -9 + 3 Combine like terms: -9 + 3 = -6 8k = -6 Divide each side by '8'. k = -0.75 Simplifying k = -0.75
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