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Simplifying 1020 = -16t2 + 30T + 1000 Reorder the terms: 1020 = 1000 + 30T + -16t2 Solving 1020 = 1000 + 30T + -16t2 Solving for variable 'T'. Move all terms containing T to the left, all other terms to the right. Add '-30T' to each side of the equation. 1020 + -30T = 1000 + 30T + -30T + -16t2 Combine like terms: 30T + -30T = 0 1020 + -30T = 1000 + 0 + -16t2 1020 + -30T = 1000 + -16t2 Add '-1020' to each side of the equation. 1020 + -1020 + -30T = 1000 + -1020 + -16t2 Combine like terms: 1020 + -1020 = 0 0 + -30T = 1000 + -1020 + -16t2 -30T = 1000 + -1020 + -16t2 Combine like terms: 1000 + -1020 = -20 -30T = -20 + -16t2 Divide each side by '-30'. T = 0.6666666667 + 0.5333333333t2 Simplifying T = 0.6666666667 + 0.5333333333t2
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