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Simplifying 5k + -1(5 + k) = -1(9 + k) 5k + (5 * -1 + k * -1) = -1(9 + k) 5k + (-5 + -1k) = -1(9 + k) Reorder the terms: -5 + 5k + -1k = -1(9 + k) Combine like terms: 5k + -1k = 4k -5 + 4k = -1(9 + k) -5 + 4k = (9 * -1 + k * -1) -5 + 4k = (-9 + -1k) Solving -5 + 4k = -9 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -5 + 4k + k = -9 + -1k + k Combine like terms: 4k + k = 5k -5 + 5k = -9 + -1k + k Combine like terms: -1k + k = 0 -5 + 5k = -9 + 0 -5 + 5k = -9 Add '5' to each side of the equation. -5 + 5 + 5k = -9 + 5 Combine like terms: -5 + 5 = 0 0 + 5k = -9 + 5 5k = -9 + 5 Combine like terms: -9 + 5 = -4 5k = -4 Divide each side by '5'. k = -0.8 Simplifying k = -0.8
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