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Simplifying 5(2k + 11) = 3(12 + 5k) Reorder the terms: 5(11 + 2k) = 3(12 + 5k) (11 * 5 + 2k * 5) = 3(12 + 5k) (55 + 10k) = 3(12 + 5k) 55 + 10k = (12 * 3 + 5k * 3) 55 + 10k = (36 + 15k) Solving 55 + 10k = 36 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 55 + 10k + -15k = 36 + 15k + -15k Combine like terms: 10k + -15k = -5k 55 + -5k = 36 + 15k + -15k Combine like terms: 15k + -15k = 0 55 + -5k = 36 + 0 55 + -5k = 36 Add '-55' to each side of the equation. 55 + -55 + -5k = 36 + -55 Combine like terms: 55 + -55 = 0 0 + -5k = 36 + -55 -5k = 36 + -55 Combine like terms: 36 + -55 = -19 -5k = -19 Divide each side by '-5'. k = 3.8 Simplifying k = 3.8
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