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Simplifying 7k + -8 + 2(l + 12) = 52 Reorder the terms: 7k + -8 + 2(12 + l) = 52 7k + -8 + (12 * 2 + l * 2) = 52 7k + -8 + (24 + 2l) = 52 Reorder the terms: -8 + 24 + 7k + 2l = 52 Combine like terms: -8 + 24 = 16 16 + 7k + 2l = 52 Solving 16 + 7k + 2l = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 7k + -16 + 2l = 52 + -16 Reorder the terms: 16 + -16 + 7k + 2l = 52 + -16 Combine like terms: 16 + -16 = 0 0 + 7k + 2l = 52 + -16 7k + 2l = 52 + -16 Combine like terms: 52 + -16 = 36 7k + 2l = 36 Add '-2l' to each side of the equation. 7k + 2l + -2l = 36 + -2l Combine like terms: 2l + -2l = 0 7k + 0 = 36 + -2l 7k = 36 + -2l Divide each side by '7'. k = 5.142857143 + -0.2857142857l Simplifying k = 5.142857143 + -0.2857142857l
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