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Simplifying (5k2 + 8k) + -1(5k2 + 11k) = 0 Reorder the terms: (8k + 5k2) + -1(5k2 + 11k) = 0 Remove parenthesis around (8k + 5k2) 8k + 5k2 + -1(5k2 + 11k) = 0 Reorder the terms: 8k + 5k2 + -1(11k + 5k2) = 0 8k + 5k2 + (11k * -1 + 5k2 * -1) = 0 8k + 5k2 + (-11k + -5k2) = 0 Reorder the terms: 8k + -11k + 5k2 + -5k2 = 0 Combine like terms: 8k + -11k = -3k -3k + 5k2 + -5k2 = 0 Combine like terms: 5k2 + -5k2 = 0 -3k + 0 = 0 -3k = 0 Solving -3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '-3'. k = 0 Simplifying k = 0
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