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Simplifying -16t2 + 16t + 32 + -1h = 0 Reorder the terms: 32 + -1h + 16t + -16t2 = 0 Solving 32 + -1h + 16t + -16t2 = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -1h + 16t + -32 + -16t2 = 0 + -32 Reorder the terms: 32 + -32 + -1h + 16t + -16t2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1h + 16t + -16t2 = 0 + -32 -1h + 16t + -16t2 = 0 + -32 Combine like terms: 0 + -32 = -32 -1h + 16t + -16t2 = -32 Add '-16t' to each side of the equation. -1h + 16t + -16t + -16t2 = -32 + -16t Combine like terms: 16t + -16t = 0 -1h + 0 + -16t2 = -32 + -16t -1h + -16t2 = -32 + -16t Add '16t2' to each side of the equation. -1h + -16t2 + 16t2 = -32 + -16t + 16t2 Combine like terms: -16t2 + 16t2 = 0 -1h + 0 = -32 + -16t + 16t2 -1h = -32 + -16t + 16t2 Divide each side by '-1'. h = 32 + 16t + -16t2 Simplifying h = 32 + 16t + -16t2
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