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Simplifying 100 = -16t2 + 96 + k Reorder the terms: 100 = 96 + k + -16t2 Solving 100 = 96 + k + -16t2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 100 + -1k = 96 + k + -1k + -16t2 Combine like terms: k + -1k = 0 100 + -1k = 96 + 0 + -16t2 100 + -1k = 96 + -16t2 Add '-100' to each side of the equation. 100 + -100 + -1k = 96 + -100 + -16t2 Combine like terms: 100 + -100 = 0 0 + -1k = 96 + -100 + -16t2 -1k = 96 + -100 + -16t2 Combine like terms: 96 + -100 = -4 -1k = -4 + -16t2 Divide each side by '-1'. k = 4 + 16t2 Simplifying k = 4 + 16t2
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