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Simplifying (5k + 5) + -1(3k + -5) = 20 Reorder the terms: (5 + 5k) + -1(3k + -5) = 20 Remove parenthesis around (5 + 5k) 5 + 5k + -1(3k + -5) = 20 Reorder the terms: 5 + 5k + -1(-5 + 3k) = 20 5 + 5k + (-5 * -1 + 3k * -1) = 20 5 + 5k + (5 + -3k) = 20 Reorder the terms: 5 + 5 + 5k + -3k = 20 Combine like terms: 5 + 5 = 10 10 + 5k + -3k = 20 Combine like terms: 5k + -3k = 2k 10 + 2k = 20 Solving 10 + 2k = 20 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 + 2k = 20 + -10 Combine like terms: 10 + -10 = 0 0 + 2k = 20 + -10 2k = 20 + -10 Combine like terms: 20 + -10 = 10 2k = 10 Divide each side by '2'. k = 5 Simplifying k = 5
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