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Simplifying (-9k) + -1(-8k) + -1(-2k) + 8 = 3 Remove parenthesis around (-8k) (-9k) + -1 * -8k + -1(-2k) + 8 = 3 Multiply -1 * -8 (-9k) + 8k + -1(-2k) + 8 = 3 Remove parenthesis around (-2k) (-9k) + 8k + -1 * -2k + 8 = 3 Multiply -1 * -2 (-9k) + 8k + 2k + 8 = 3 Reorder the terms: 8 + (-9k) + 8k + 2k = 3 Combine like terms: (-9k) + 8k = -1k 8 + -1k + 2k = 3 Combine like terms: -1k + 2k = 1k 8 + 1k = 3 Solving 8 + 1k = 3 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1k = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 1k = 3 + -8 1k = 3 + -8 Combine like terms: 3 + -8 = -5 1k = -5 Divide each side by '1'. k = -5 Simplifying k = -5
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