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Simplifying -1(k + 3) = 8k + -30 Reorder the terms: -1(3 + k) = 8k + -30 (3 * -1 + k * -1) = 8k + -30 (-3 + -1k) = 8k + -30 Reorder the terms: -3 + -1k = -30 + 8k Solving -3 + -1k = -30 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. -3 + -1k + -8k = -30 + 8k + -8k Combine like terms: -1k + -8k = -9k -3 + -9k = -30 + 8k + -8k Combine like terms: 8k + -8k = 0 -3 + -9k = -30 + 0 -3 + -9k = -30 Add '3' to each side of the equation. -3 + 3 + -9k = -30 + 3 Combine like terms: -3 + 3 = 0 0 + -9k = -30 + 3 -9k = -30 + 3 Combine like terms: -30 + 3 = -27 -9k = -27 Divide each side by '-9'. k = 3 Simplifying k = 3
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