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Simplifying (18k + -59) = (5k + 11) Reorder the terms: (-59 + 18k) = (5k + 11) Remove parenthesis around (-59 + 18k) -59 + 18k = (5k + 11) Reorder the terms: -59 + 18k = (11 + 5k) Remove parenthesis around (11 + 5k) -59 + 18k = 11 + 5k Solving -59 + 18k = 11 + 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. -59 + 18k + -5k = 11 + 5k + -5k Combine like terms: 18k + -5k = 13k -59 + 13k = 11 + 5k + -5k Combine like terms: 5k + -5k = 0 -59 + 13k = 11 + 0 -59 + 13k = 11 Add '59' to each side of the equation. -59 + 59 + 13k = 11 + 59 Combine like terms: -59 + 59 = 0 0 + 13k = 11 + 59 13k = 11 + 59 Combine like terms: 11 + 59 = 70 13k = 70 Divide each side by '13'. k = 5.384615385 Simplifying k = 5.384615385
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