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Simplifying (5k + -8) + -20 = 11(2k + -3) + 3k Reorder the terms: (-8 + 5k) + -20 = 11(2k + -3) + 3k Remove parenthesis around (-8 + 5k) -8 + 5k + -20 = 11(2k + -3) + 3k Reorder the terms: -8 + -20 + 5k = 11(2k + -3) + 3k Combine like terms: -8 + -20 = -28 -28 + 5k = 11(2k + -3) + 3k Reorder the terms: -28 + 5k = 11(-3 + 2k) + 3k -28 + 5k = (-3 * 11 + 2k * 11) + 3k -28 + 5k = (-33 + 22k) + 3k Combine like terms: 22k + 3k = 25k -28 + 5k = -33 + 25k Solving -28 + 5k = -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. -28 + 5k + -25k = -33 + 25k + -25k Combine like terms: 5k + -25k = -20k -28 + -20k = -33 + 25k + -25k Combine like terms: 25k + -25k = 0 -28 + -20k = -33 + 0 -28 + -20k = -33 Add '28' to each side of the equation. -28 + 28 + -20k = -33 + 28 Combine like terms: -28 + 28 = 0 0 + -20k = -33 + 28 -20k = -33 + 28 Combine like terms: -33 + 28 = -5 -20k = -5 Divide each side by '-20'. k = 0.25 Simplifying k = 0.25
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