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2(t+3)+3(t+8)=-10
We move all terms to the left:
2(t+3)+3(t+8)-(-10)=0
We add all the numbers together, and all the variables
2(t+3)+3(t+8)+10=0
We multiply parentheses
2t+3t+6+24+10=0
We add all the numbers together, and all the variables
5t+40=0
We move all terms containing t to the left, all other terms to the right
5t=-40
t=-40/5
t=-8
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