2(3+7t)-(1+15t)=2

Solution for 2(3+7t)-(1+15t)=2 equation:

Simplifying
2(3 + 7t) + -1(1 + 15t) = 2
(3 * 2 + 7t * 2) + -1(1 + 15t) = 2
(6 + 14t) + -1(1 + 15t) = 2
6 + 14t + (1 * -1 + 15t * -1) = 2
6 + 14t + (-1 + -15t) = 2

Reorder the terms:
6 + -1 + 14t + -15t = 2

Combine like terms: 6 + -1 = 5
5 + 14t + -15t = 2

Combine like terms: 14t + -15t = -1t
5 + -1t = 2

Solving
5 + -1t = 2

Solving for variable 't'.

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 2 + -5

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

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

Divide each side by '-1'.
t = 3

Simplifying
t = 3