6+14t-2=5t+100-3t

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Solution for 6+14t-2=5t+100-3t equation:


Simplifying
6 + 14t + -2 = 5t + 100 + -3t

Reorder the terms:
6 + -2 + 14t = 5t + 100 + -3t

Combine like terms: 6 + -2 = 4
4 + 14t = 5t + 100 + -3t

Reorder the terms:
4 + 14t = 100 + 5t + -3t

Combine like terms: 5t + -3t = 2t
4 + 14t = 100 + 2t

Solving
4 + 14t = 100 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
4 + 14t + -2t = 100 + 2t + -2t

Combine like terms: 14t + -2t = 12t
4 + 12t = 100 + 2t + -2t

Combine like terms: 2t + -2t = 0
4 + 12t = 100 + 0
4 + 12t = 100

Add '-4' to each side of the equation.
4 + -4 + 12t = 100 + -4

Combine like terms: 4 + -4 = 0
0 + 12t = 100 + -4
12t = 100 + -4

Combine like terms: 100 + -4 = 96
12t = 96

Divide each side by '12'.
t = 8

Simplifying
t = 8

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