5+-2(5+4t)=3+t+8

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Solution for 5+-2(5+4t)=3+t+8 equation: 


Simplifying
5 + -2(5 + 4t) = 3 + t + 8
5 + (5 * -2 + 4t * -2) = 3 + t + 8
5 + (-10 + -8t) = 3 + t + 8

Combine like terms: 5 + -10 = -5
-5 + -8t = 3 + t + 8

Reorder the terms:
-5 + -8t = 3 + 8 + t

Combine like terms: 3 + 8 = 11
-5 + -8t = 11 + t

Solving
-5 + -8t = 11 + t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-1t' to each side of the equation.
-5 + -8t + -1t = 11 + t + -1t

Combine like terms: -8t + -1t = -9t
-5 + -9t = 11 + t + -1t

Combine like terms: t + -1t = 0
-5 + -9t = 11 + 0
-5 + -9t = 11

Add '5' to each side of the equation.
-5 + 5 + -9t = 11 + 5

Combine like terms: -5 + 5 = 0
0 + -9t = 11 + 5
-9t = 11 + 5

Combine like terms: 11 + 5 = 16
-9t = 16

Divide each side by '-9'.
t = -1.777777778

Simplifying
t = -1.777777778

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