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Simplifying -84 = -3(3k + 4) Reorder the terms: -84 = -3(4 + 3k) -84 = (4 * -3 + 3k * -3) -84 = (-12 + -9k) Solving -84 = -12 + -9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '9k' to each side of the equation. -84 + 9k = -12 + -9k + 9k Combine like terms: -9k + 9k = 0 -84 + 9k = -12 + 0 -84 + 9k = -12 Add '84' to each side of the equation. -84 + 84 + 9k = -12 + 84 Combine like terms: -84 + 84 = 0 0 + 9k = -12 + 84 9k = -12 + 84 Combine like terms: -12 + 84 = 72 9k = 72 Divide each side by '9'. k = 8 Simplifying k = 8
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