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Simplifying -9 = -1(1 + k) + -4k -9 = (1 * -1 + k * -1) + -4k -9 = (-1 + -1k) + -4k Combine like terms: -1k + -4k = -5k -9 = -1 + -5k Solving -9 = -1 + -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -9 + 5k = -1 + -5k + 5k Combine like terms: -5k + 5k = 0 -9 + 5k = -1 + 0 -9 + 5k = -1 Add '9' to each side of the equation. -9 + 9 + 5k = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 5k = -1 + 9 5k = -1 + 9 Combine like terms: -1 + 9 = 8 5k = 8 Divide each side by '5'. k = 1.6 Simplifying k = 1.6
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