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Simplifying 6(5k + -8) + -20 = (2k + -3) + 3k Reorder the terms: 6(-8 + 5k) + -20 = (2k + -3) + 3k (-8 * 6 + 5k * 6) + -20 = (2k + -3) + 3k (-48 + 30k) + -20 = (2k + -3) + 3k Reorder the terms: -48 + -20 + 30k = (2k + -3) + 3k Combine like terms: -48 + -20 = -68 -68 + 30k = (2k + -3) + 3k Reorder the terms: -68 + 30k = (-3 + 2k) + 3k Remove parenthesis around (-3 + 2k) -68 + 30k = -3 + 2k + 3k Combine like terms: 2k + 3k = 5k -68 + 30k = -3 + 5k Solving -68 + 30k = -3 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -68 + 30k + -5k = -3 + 5k + -5k Combine like terms: 30k + -5k = 25k -68 + 25k = -3 + 5k + -5k Combine like terms: 5k + -5k = 0 -68 + 25k = -3 + 0 -68 + 25k = -3 Add '68' to each side of the equation. -68 + 68 + 25k = -3 + 68 Combine like terms: -68 + 68 = 0 0 + 25k = -3 + 68 25k = -3 + 68 Combine like terms: -3 + 68 = 65 25k = 65 Divide each side by '25'. k = 2.6 Simplifying k = 2.6
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