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Simplifying -84 = -8 + 2(2 + -8k) -84 = -8 + (2 * 2 + -8k * 2) -84 = -8 + (4 + -16k) Combine like terms: -8 + 4 = -4 -84 = -4 + -16k Solving -84 = -4 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. -84 + 16k = -4 + -16k + 16k Combine like terms: -16k + 16k = 0 -84 + 16k = -4 + 0 -84 + 16k = -4 Add '84' to each side of the equation. -84 + 84 + 16k = -4 + 84 Combine like terms: -84 + 84 = 0 0 + 16k = -4 + 84 16k = -4 + 84 Combine like terms: -4 + 84 = 80 16k = 80 Divide each side by '16'. k = 5 Simplifying k = 5
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