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Simplifying 6(5k + -8 + -20) = 11(2k + -3) + 3k Reorder the terms: 6(-8 + -20 + 5k) = 11(2k + -3) + 3k Combine like terms: -8 + -20 = -28 6(-28 + 5k) = 11(2k + -3) + 3k (-28 * 6 + 5k * 6) = 11(2k + -3) + 3k (-168 + 30k) = 11(2k + -3) + 3k Reorder the terms: -168 + 30k = 11(-3 + 2k) + 3k -168 + 30k = (-3 * 11 + 2k * 11) + 3k -168 + 30k = (-33 + 22k) + 3k Combine like terms: 22k + 3k = 25k -168 + 30k = -33 + 25k Solving -168 + 30k = -33 + 25k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-25k' to each side of the equation. -168 + 30k + -25k = -33 + 25k + -25k Combine like terms: 30k + -25k = 5k -168 + 5k = -33 + 25k + -25k Combine like terms: 25k + -25k = 0 -168 + 5k = -33 + 0 -168 + 5k = -33 Add '168' to each side of the equation. -168 + 168 + 5k = -33 + 168 Combine like terms: -168 + 168 = 0 0 + 5k = -33 + 168 5k = -33 + 168 Combine like terms: -33 + 168 = 135 5k = 135 Divide each side by '5'. k = 27 Simplifying k = 27
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