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Simplifying -84 = 3(-4k + -8k) Combine like terms: -4k + -8k = -12k -84 = 3(-12k) Remove parenthesis around (-12k) -84 = 3 * -12k Multiply 3 * -12 -84 = -36k Solving -84 = -36k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '36k' to each side of the equation. -84 + 36k = -36k + 36k Combine like terms: -36k + 36k = 0 -84 + 36k = 0 Add '84' to each side of the equation. -84 + 84 + 36k = 0 + 84 Combine like terms: -84 + 84 = 0 0 + 36k = 0 + 84 36k = 0 + 84 Combine like terms: 0 + 84 = 84 36k = 84 Divide each side by '36'. k = 2.333333333 Simplifying k = 2.333333333
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