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Simplifying 4(k + -8) + -1(9k + -9) = -6k Reorder the terms: 4(-8 + k) + -1(9k + -9) = -6k (-8 * 4 + k * 4) + -1(9k + -9) = -6k (-32 + 4k) + -1(9k + -9) = -6k Reorder the terms: -32 + 4k + -1(-9 + 9k) = -6k -32 + 4k + (-9 * -1 + 9k * -1) = -6k -32 + 4k + (9 + -9k) = -6k Reorder the terms: -32 + 9 + 4k + -9k = -6k Combine like terms: -32 + 9 = -23 -23 + 4k + -9k = -6k Combine like terms: 4k + -9k = -5k -23 + -5k = -6k Solving -23 + -5k = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -23 + -5k + 6k = -6k + 6k Combine like terms: -5k + 6k = 1k -23 + 1k = -6k + 6k Combine like terms: -6k + 6k = 0 -23 + 1k = 0 Add '23' to each side of the equation. -23 + 23 + 1k = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 1k = 0 + 23 1k = 0 + 23 Combine like terms: 0 + 23 = 23 1k = 23 Divide each side by '1'. k = 23 Simplifying k = 23
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