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Simplifying (-8)(-1k + -3) + -1(-2) + -2k = k + -9 Reorder the terms: -8(-3 + -1k) + -1(-2) + -2k = k + -9 (-3 * -8 + -1k * -8) + -1(-2) + -2k = k + -9 (24 + 8k) + -1(-2) + -2k = k + -9 Multiply -1 * -2 24 + 8k + 2 + -2k = k + -9 Reorder the terms: 24 + 2 + 8k + -2k = k + -9 Combine like terms: 24 + 2 = 26 26 + 8k + -2k = k + -9 Combine like terms: 8k + -2k = 6k 26 + 6k = k + -9 Reorder the terms: 26 + 6k = -9 + k Solving 26 + 6k = -9 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 26 + 6k + -1k = -9 + k + -1k Combine like terms: 6k + -1k = 5k 26 + 5k = -9 + k + -1k Combine like terms: k + -1k = 0 26 + 5k = -9 + 0 26 + 5k = -9 Add '-26' to each side of the equation. 26 + -26 + 5k = -9 + -26 Combine like terms: 26 + -26 = 0 0 + 5k = -9 + -26 5k = -9 + -26 Combine like terms: -9 + -26 = -35 5k = -35 Divide each side by '5'. k = -7 Simplifying k = -7
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