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Simplifying 10(3k + 1) = 2(9 + 11) Reorder the terms: 10(1 + 3k) = 2(9 + 11) (1 * 10 + 3k * 10) = 2(9 + 11) (10 + 30k) = 2(9 + 11) Combine like terms: 9 + 11 = 20 10 + 30k = 2(20) Multiply 2 * 20 10 + 30k = 40 Solving 10 + 30k = 40 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 30k = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 30k = 40 + -10 30k = 40 + -10 Combine like terms: 40 + -10 = 30 30k = 30 Divide each side by '30'. k = 1 Simplifying k = 1
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