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Simplifying 6(5k + -8) + -20 = 11(2k + -4) + 3k Reorder the terms: 6(-8 + 5k) + -20 = 11(2k + -4) + 3k (-8 * 6 + 5k * 6) + -20 = 11(2k + -4) + 3k (-48 + 30k) + -20 = 11(2k + -4) + 3k Reorder the terms: -48 + -20 + 30k = 11(2k + -4) + 3k Combine like terms: -48 + -20 = -68 -68 + 30k = 11(2k + -4) + 3k Reorder the terms: -68 + 30k = 11(-4 + 2k) + 3k -68 + 30k = (-4 * 11 + 2k * 11) + 3k -68 + 30k = (-44 + 22k) + 3k Combine like terms: 22k + 3k = 25k -68 + 30k = -44 + 25k Solving -68 + 30k = -44 + 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. -68 + 30k + -25k = -44 + 25k + -25k Combine like terms: 30k + -25k = 5k -68 + 5k = -44 + 25k + -25k Combine like terms: 25k + -25k = 0 -68 + 5k = -44 + 0 -68 + 5k = -44 Add '68' to each side of the equation. -68 + 68 + 5k = -44 + 68 Combine like terms: -68 + 68 = 0 0 + 5k = -44 + 68 5k = -44 + 68 Combine like terms: -44 + 68 = 24 5k = 24 Divide each side by '5'. k = 4.8 Simplifying k = 4.8
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