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

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


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

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

Combine like terms: 3 + -48 = -45
-45 + 16t = 2 + 14t

Solving
-45 + 16t = 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.
-45 + 16t + -14t = 2 + 14t + -14t

Combine like terms: 16t + -14t = 2t
-45 + 2t = 2 + 14t + -14t

Combine like terms: 14t + -14t = 0
-45 + 2t = 2 + 0
-45 + 2t = 2

Add '45' to each side of the equation.
-45 + 45 + 2t = 2 + 45

Combine like terms: -45 + 45 = 0
0 + 2t = 2 + 45
2t = 2 + 45

Combine like terms: 2 + 45 = 47
2t = 47

Divide each side by '2'.
t = 23.5

Simplifying
t = 23.5

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