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Simplifying 6(5k + -8) + -20 = 11(2k + -3) + 3k Reorder the terms: 6(-8 + 5k) + -20 = 11(2k + -3) + 3k (-8 * 6 + 5k * 6) + -20 = 11(2k + -3) + 3k (-48 + 30k) + -20 = 11(2k + -3) + 3k Reorder the terms: -48 + -20 + 30k = 11(2k + -3) + 3k Combine like terms: -48 + -20 = -68 -68 + 30k = 11(2k + -3) + 3k Reorder the terms: -68 + 30k = 11(-3 + 2k) + 3k -68 + 30k = (-3 * 11 + 2k * 11) + 3k -68 + 30k = (-33 + 22k) + 3k Combine like terms: 22k + 3k = 25k -68 + 30k = -33 + 25k Solving -68 + 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. -68 + 30k + -25k = -33 + 25k + -25k Combine like terms: 30k + -25k = 5k -68 + 5k = -33 + 25k + -25k Combine like terms: 25k + -25k = 0 -68 + 5k = -33 + 0 -68 + 5k = -33 Add '68' to each side of the equation. -68 + 68 + 5k = -33 + 68 Combine like terms: -68 + 68 = 0 0 + 5k = -33 + 68 5k = -33 + 68 Combine like terms: -33 + 68 = 35 5k = 35 Divide each side by '5'. k = 7 Simplifying k = 7
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