3t+8(2t-6)=2+14t

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Solution for 3t+8(2t-6)=2+14t equation: 


Simplifying
3t + 8(2t + -6) = 2 + 14t

Reorder the terms:
3t + 8(-6 + 2t) = 2 + 14t
3t + (-6 * 8 + 2t * 8) = 2 + 14t
3t + (-48 + 16t) = 2 + 14t

Reorder the terms:
-48 + 3t + 16t = 2 + 14t

Combine like terms: 3t + 16t = 19t
-48 + 19t = 2 + 14t

Solving
-48 + 19t = 2 + 14t

Solving for variable 't'.

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

Add '-14t' to each side of the equation.
-48 + 19t + -14t = 2 + 14t + -14t

Combine like terms: 19t + -14t = 5t
-48 + 5t = 2 + 14t + -14t

Combine like terms: 14t + -14t = 0
-48 + 5t = 2 + 0
-48 + 5t = 2

Add '48' to each side of the equation.
-48 + 48 + 5t = 2 + 48

Combine like terms: -48 + 48 = 0
0 + 5t = 2 + 48
5t = 2 + 48

Combine like terms: 2 + 48 = 50
5t = 50

Divide each side by '5'.
t = 10

Simplifying
t = 10

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