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Simplifying (16k + 8k + 2) + (-8k + 3) = 0 Reorder the terms: (2 + 16k + 8k) + (-8k + 3) = 0 Combine like terms: 16k + 8k = 24k (2 + 24k) + (-8k + 3) = 0 Remove parenthesis around (2 + 24k) 2 + 24k + (-8k + 3) = 0 Reorder the terms: 2 + 24k + (3 + -8k) = 0 Remove parenthesis around (3 + -8k) 2 + 24k + 3 + -8k = 0 Reorder the terms: 2 + 3 + 24k + -8k = 0 Combine like terms: 2 + 3 = 5 5 + 24k + -8k = 0 Combine like terms: 24k + -8k = 16k 5 + 16k = 0 Solving 5 + 16k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 16k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 16k = 0 + -5 16k = 0 + -5 Combine like terms: 0 + -5 = -5 16k = -5 Divide each side by '16'. k = -0.3125 Simplifying k = -0.3125
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