3t+13=9-5t

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Solution for 3t+13=9-5t equation:


Simplifying
3t + 13 = 9 + -5t

Reorder the terms:
13 + 3t = 9 + -5t

Solving
13 + 3t = 9 + -5t

Solving for variable 't'.

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

Add '5t' to each side of the equation.
13 + 3t + 5t = 9 + -5t + 5t

Combine like terms: 3t + 5t = 8t
13 + 8t = 9 + -5t + 5t

Combine like terms: -5t + 5t = 0
13 + 8t = 9 + 0
13 + 8t = 9

Add '-13' to each side of the equation.
13 + -13 + 8t = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 8t = 9 + -13
8t = 9 + -13

Combine like terms: 9 + -13 = -4
8t = -4

Divide each side by '8'.
t = -0.5

Simplifying
t = -0.5

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