# Chapter P, Prerequisites - Section P.8 - Solving Basic Equations - P.8 Exercises - Page 60: 40

$t=-2$

#### Work Step by Step

$(t-4)^{2}=(t+4)^{2}+32$ We distribute: $t^{2}-8t+16=t^{2}+8t+16+32$ And simplify: $-16t=32$ And solve for $t$: $t=-2$

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