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Simplifying 30 + 3k = -3(-4k + -1) Reorder the terms: 30 + 3k = -3(-1 + -4k) 30 + 3k = (-1 * -3 + -4k * -3) 30 + 3k = (3 + 12k) Solving 30 + 3k = 3 + 12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12k' to each side of the equation. 30 + 3k + -12k = 3 + 12k + -12k Combine like terms: 3k + -12k = -9k 30 + -9k = 3 + 12k + -12k Combine like terms: 12k + -12k = 0 30 + -9k = 3 + 0 30 + -9k = 3 Add '-30' to each side of the equation. 30 + -30 + -9k = 3 + -30 Combine like terms: 30 + -30 = 0 0 + -9k = 3 + -30 -9k = 3 + -30 Combine like terms: 3 + -30 = -27 -9k = -27 Divide each side by '-9'. k = 3 Simplifying k = 3
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