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Simplifying 3(5k + -8) + -20 = 11(2k + -3) + 3k Reorder the terms: 3(-8 + 5k) + -20 = 11(2k + -3) + 3k (-8 * 3 + 5k * 3) + -20 = 11(2k + -3) + 3k (-24 + 15k) + -20 = 11(2k + -3) + 3k Reorder the terms: -24 + -20 + 15k = 11(2k + -3) + 3k Combine like terms: -24 + -20 = -44 -44 + 15k = 11(2k + -3) + 3k Reorder the terms: -44 + 15k = 11(-3 + 2k) + 3k -44 + 15k = (-3 * 11 + 2k * 11) + 3k -44 + 15k = (-33 + 22k) + 3k Combine like terms: 22k + 3k = 25k -44 + 15k = -33 + 25k Solving -44 + 15k = -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. -44 + 15k + -25k = -33 + 25k + -25k Combine like terms: 15k + -25k = -10k -44 + -10k = -33 + 25k + -25k Combine like terms: 25k + -25k = 0 -44 + -10k = -33 + 0 -44 + -10k = -33 Add '44' to each side of the equation. -44 + 44 + -10k = -33 + 44 Combine like terms: -44 + 44 = 0 0 + -10k = -33 + 44 -10k = -33 + 44 Combine like terms: -33 + 44 = 11 -10k = 11 Divide each side by '-10'. k = -1.1 Simplifying k = -1.1
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