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Simplifying (1 + -5q) + 2(2.5k + 8) = 0 Remove parenthesis around (1 + -5q) 1 + -5q + 2(2.5k + 8) = 0 Reorder the terms: 1 + -5q + 2(8 + 2.5k) = 0 1 + -5q + (8 * 2 + 2.5k * 2) = 0 1 + -5q + (16 + 5k) = 0 Reorder the terms: 1 + 16 + 5k + -5q = 0 Combine like terms: 1 + 16 = 17 17 + 5k + -5q = 0 Solving 17 + 5k + -5q = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + 5k + -17 + -5q = 0 + -17 Reorder the terms: 17 + -17 + 5k + -5q = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5k + -5q = 0 + -17 5k + -5q = 0 + -17 Combine like terms: 0 + -17 = -17 5k + -5q = -17 Add '5q' to each side of the equation. 5k + -5q + 5q = -17 + 5q Combine like terms: -5q + 5q = 0 5k + 0 = -17 + 5q 5k = -17 + 5q Divide each side by '5'. k = -3.4 + q Simplifying k = -3.4 + q
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