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-40t-\left(10+12t\right)=42
Use the distributive property to multiply 5+6t by 2.
-40t-10-12t=42
To find the opposite of 10+12t, find the opposite of each term.
-52t-10=42
Combine -40t and -12t to get -52t.
-52t=42+10
Add 10 to both sides.
-52t=52
Add 42 and 10 to get 52.
t=\frac{52}{-52}
Divide both sides by -52.
t=-1
Divide 52 by -52 to get -1.