3+3t-1=9t+38-2t

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Solution for 3+3t-1=9t+38-2t equation: 


Simplifying
3 + 3t + -1 = 9t + 38 + -2t

Reorder the terms:
3 + -1 + 3t = 9t + 38 + -2t

Combine like terms: 3 + -1 = 2
2 + 3t = 9t + 38 + -2t

Reorder the terms:
2 + 3t = 38 + 9t + -2t

Combine like terms: 9t + -2t = 7t
2 + 3t = 38 + 7t

Solving
2 + 3t = 38 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
2 + 3t + -7t = 38 + 7t + -7t

Combine like terms: 3t + -7t = -4t
2 + -4t = 38 + 7t + -7t

Combine like terms: 7t + -7t = 0
2 + -4t = 38 + 0
2 + -4t = 38

Add '-2' to each side of the equation.
2 + -2 + -4t = 38 + -2

Combine like terms: 2 + -2 = 0
0 + -4t = 38 + -2
-4t = 38 + -2

Combine like terms: 38 + -2 = 36
-4t = 36

Divide each side by '-4'.
t = -9

Simplifying
t = -9

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