3t+5=9t-31

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Solution for 3t+5=9t-31 equation:


Simplifying
3t + 5 = 9t + -31

Reorder the terms:
5 + 3t = 9t + -31

Reorder the terms:
5 + 3t = -31 + 9t

Solving
5 + 3t = -31 + 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.
5 + 3t + -9t = -31 + 9t + -9t

Combine like terms: 3t + -9t = -6t
5 + -6t = -31 + 9t + -9t

Combine like terms: 9t + -9t = 0
5 + -6t = -31 + 0
5 + -6t = -31

Add '-5' to each side of the equation.
5 + -5 + -6t = -31 + -5

Combine like terms: 5 + -5 = 0
0 + -6t = -31 + -5
-6t = -31 + -5

Combine like terms: -31 + -5 = -36
-6t = -36

Divide each side by '-6'.
t = 6

Simplifying
t = 6

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