2(7t+1)+2(5t+8)=162

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Solution for 2(7t+1)+2(5t+8)=162 equation: 


Simplifying
2(7t + 1) + 2(5t + 8) = 162

Reorder the terms:
2(1 + 7t) + 2(5t + 8) = 162
(1 * 2 + 7t * 2) + 2(5t + 8) = 162
(2 + 14t) + 2(5t + 8) = 162

Reorder the terms:
2 + 14t + 2(8 + 5t) = 162
2 + 14t + (8 * 2 + 5t * 2) = 162
2 + 14t + (16 + 10t) = 162

Reorder the terms:
2 + 16 + 14t + 10t = 162

Combine like terms: 2 + 16 = 18
18 + 14t + 10t = 162

Combine like terms: 14t + 10t = 24t
18 + 24t = 162

Solving
18 + 24t = 162

Solving for variable 't'.

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

Add '-18' to each side of the equation.
18 + -18 + 24t = 162 + -18

Combine like terms: 18 + -18 = 0
0 + 24t = 162 + -18
24t = 162 + -18

Combine like terms: 162 + -18 = 144
24t = 144

Divide each side by '24'.
t = 6

Simplifying
t = 6

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