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Simplifying -27 + -4k = -6(8k + -9) Reorder the terms: -27 + -4k = -6(-9 + 8k) -27 + -4k = (-9 * -6 + 8k * -6) -27 + -4k = (54 + -48k) Solving -27 + -4k = 54 + -48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '48k' to each side of the equation. -27 + -4k + 48k = 54 + -48k + 48k Combine like terms: -4k + 48k = 44k -27 + 44k = 54 + -48k + 48k Combine like terms: -48k + 48k = 0 -27 + 44k = 54 + 0 -27 + 44k = 54 Add '27' to each side of the equation. -27 + 27 + 44k = 54 + 27 Combine like terms: -27 + 27 = 0 0 + 44k = 54 + 27 44k = 54 + 27 Combine like terms: 54 + 27 = 81 44k = 81 Divide each side by '44'. k = 1.840909091 Simplifying k = 1.840909091
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