-2t+4(4t+2)=3(3t-1)+26

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Solution for -2t+4(4t+2)=3(3t-1)+26 equation: 


Simplifying
-2t + 4(4t + 2) = 3(3t + -1) + 26

Reorder the terms:
-2t + 4(2 + 4t) = 3(3t + -1) + 26
-2t + (2 * 4 + 4t * 4) = 3(3t + -1) + 26
-2t + (8 + 16t) = 3(3t + -1) + 26

Reorder the terms:
8 + -2t + 16t = 3(3t + -1) + 26

Combine like terms: -2t + 16t = 14t
8 + 14t = 3(3t + -1) + 26

Reorder the terms:
8 + 14t = 3(-1 + 3t) + 26
8 + 14t = (-1 * 3 + 3t * 3) + 26
8 + 14t = (-3 + 9t) + 26

Reorder the terms:
8 + 14t = -3 + 26 + 9t

Combine like terms: -3 + 26 = 23
8 + 14t = 23 + 9t

Solving
8 + 14t = 23 + 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
8 + 14t + -9t = 23 + 9t + -9t

Combine like terms: 14t + -9t = 5t
8 + 5t = 23 + 9t + -9t

Combine like terms: 9t + -9t = 0
8 + 5t = 23 + 0
8 + 5t = 23

Add '-8' to each side of the equation.
8 + -8 + 5t = 23 + -8

Combine like terms: 8 + -8 = 0
0 + 5t = 23 + -8
5t = 23 + -8

Combine like terms: 23 + -8 = 15
5t = 15

Divide each side by '5'.
t = 3

Simplifying
t = 3

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