3t+1=5t-15

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Solution for 3t+1=5t-15 equation:


Simplifying
3t + 1 = 5t + -15

Reorder the terms:
1 + 3t = 5t + -15

Reorder the terms:
1 + 3t = -15 + 5t

Solving
1 + 3t = -15 + 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.
1 + 3t + -5t = -15 + 5t + -5t

Combine like terms: 3t + -5t = -2t
1 + -2t = -15 + 5t + -5t

Combine like terms: 5t + -5t = 0
1 + -2t = -15 + 0
1 + -2t = -15

Add '-1' to each side of the equation.
1 + -1 + -2t = -15 + -1

Combine like terms: 1 + -1 = 0
0 + -2t = -15 + -1
-2t = -15 + -1

Combine like terms: -15 + -1 = -16
-2t = -16

Divide each side by '-2'.
t = 8

Simplifying
t = 8

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