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Simplifying Z = (4t + -7)(4t + 7) Reorder the terms: Z = (-7 + 4t)(4t + 7) Reorder the terms: Z = (-7 + 4t)(7 + 4t) Multiply (-7 + 4t) * (7 + 4t) Z = (-7(7 + 4t) + 4t * (7 + 4t)) Z = ((7 * -7 + 4t * -7) + 4t * (7 + 4t)) Z = ((-49 + -28t) + 4t * (7 + 4t)) Z = (-49 + -28t + (7 * 4t + 4t * 4t)) Z = (-49 + -28t + (28t + 16t2)) Combine like terms: -28t + 28t = 0 Z = (-49 + 0 + 16t2) Z = (-49 + 16t2) Solving Z = -49 + 16t2 Solving for variable 'Z'. Move all terms containing Z to the left, all other terms to the right. Simplifying Z = -49 + 16t2
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