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Simplifying 6(5k + -8) + -20 = 11(2k + -3) + 2k Reorder the terms: 6(-8 + 5k) + -20 = 11(2k + -3) + 2k (-8 * 6 + 5k * 6) + -20 = 11(2k + -3) + 2k (-48 + 30k) + -20 = 11(2k + -3) + 2k Reorder the terms: -48 + -20 + 30k = 11(2k + -3) + 2k Combine like terms: -48 + -20 = -68 -68 + 30k = 11(2k + -3) + 2k Reorder the terms: -68 + 30k = 11(-3 + 2k) + 2k -68 + 30k = (-3 * 11 + 2k * 11) + 2k -68 + 30k = (-33 + 22k) + 2k Combine like terms: 22k + 2k = 24k -68 + 30k = -33 + 24k Solving -68 + 30k = -33 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. -68 + 30k + -24k = -33 + 24k + -24k Combine like terms: 30k + -24k = 6k -68 + 6k = -33 + 24k + -24k Combine like terms: 24k + -24k = 0 -68 + 6k = -33 + 0 -68 + 6k = -33 Add '68' to each side of the equation. -68 + 68 + 6k = -33 + 68 Combine like terms: -68 + 68 = 0 0 + 6k = -33 + 68 6k = -33 + 68 Combine like terms: -33 + 68 = 35 6k = 35 Divide each side by '6'. k = 5.833333333 Simplifying k = 5.833333333
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