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Simplifying -1(-9k + 1) = k + -4 Reorder the terms: -1(1 + -9k) = k + -4 (1 * -1 + -9k * -1) = k + -4 (-1 + 9k) = k + -4 Reorder the terms: -1 + 9k = -4 + k Solving -1 + 9k = -4 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -1 + 9k + -1k = -4 + k + -1k Combine like terms: 9k + -1k = 8k -1 + 8k = -4 + k + -1k Combine like terms: k + -1k = 0 -1 + 8k = -4 + 0 -1 + 8k = -4 Add '1' to each side of the equation. -1 + 1 + 8k = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 8k = -4 + 1 8k = -4 + 1 Combine like terms: -4 + 1 = -3 8k = -3 Divide each side by '8'. k = -0.375 Simplifying k = -0.375
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