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Simplifying 3(4 + -1k) = -30 + 3k (4 * 3 + -1k * 3) = -30 + 3k (12 + -3k) = -30 + 3k Solving 12 + -3k = -30 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 12 + -3k + -3k = -30 + 3k + -3k Combine like terms: -3k + -3k = -6k 12 + -6k = -30 + 3k + -3k Combine like terms: 3k + -3k = 0 12 + -6k = -30 + 0 12 + -6k = -30 Add '-12' to each side of the equation. 12 + -12 + -6k = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -6k = -30 + -12 -6k = -30 + -12 Combine like terms: -30 + -12 = -42 -6k = -42 Divide each side by '-6'. k = 7 Simplifying k = 7
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