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Simplifying (9k + 30) + -1(4k + 10) = 100 Reorder the terms: (30 + 9k) + -1(4k + 10) = 100 Remove parenthesis around (30 + 9k) 30 + 9k + -1(4k + 10) = 100 Reorder the terms: 30 + 9k + -1(10 + 4k) = 100 30 + 9k + (10 * -1 + 4k * -1) = 100 30 + 9k + (-10 + -4k) = 100 Reorder the terms: 30 + -10 + 9k + -4k = 100 Combine like terms: 30 + -10 = 20 20 + 9k + -4k = 100 Combine like terms: 9k + -4k = 5k 20 + 5k = 100 Solving 20 + 5k = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 5k = 100 + -20 Combine like terms: 20 + -20 = 0 0 + 5k = 100 + -20 5k = 100 + -20 Combine like terms: 100 + -20 = 80 5k = 80 Divide each side by '5'. k = 16 Simplifying k = 16
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