3(t+5)+(4t+2)=8

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Solution for 3(t+5)+(4t+2)=8 equation: 


Simplifying
3(t + 5) + (4t + 2) = 8

Reorder the terms:
3(5 + t) + (4t + 2) = 8
(5 * 3 + t * 3) + (4t + 2) = 8
(15 + 3t) + (4t + 2) = 8

Reorder the terms:
15 + 3t + (2 + 4t) = 8

Remove parenthesis around (2 + 4t)
15 + 3t + 2 + 4t = 8

Reorder the terms:
15 + 2 + 3t + 4t = 8

Combine like terms: 15 + 2 = 17
17 + 3t + 4t = 8

Combine like terms: 3t + 4t = 7t
17 + 7t = 8

Solving
17 + 7t = 8

Solving for variable 't'.

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

Add '-17' to each side of the equation.
17 + -17 + 7t = 8 + -17

Combine like terms: 17 + -17 = 0
0 + 7t = 8 + -17
7t = 8 + -17

Combine like terms: 8 + -17 = -9
7t = -9

Divide each side by '7'.
t = -1.285714286

Simplifying
t = -1.285714286

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