2(7t+8)+3(2t-1)=91

Solution for 2(7t+8)+3(2t-1)=91 equation:

Simplifying
2(7t + 8) + 3(2t + -1) = 91

Reorder the terms:
2(8 + 7t) + 3(2t + -1) = 91
(8 * 2 + 7t * 2) + 3(2t + -1) = 91
(16 + 14t) + 3(2t + -1) = 91

Reorder the terms:
16 + 14t + 3(-1 + 2t) = 91
16 + 14t + (-1 * 3 + 2t * 3) = 91
16 + 14t + (-3 + 6t) = 91

Reorder the terms:
16 + -3 + 14t + 6t = 91

Combine like terms: 16 + -3 = 13
13 + 14t + 6t = 91

Combine like terms: 14t + 6t = 20t
13 + 20t = 91

Solving
13 + 20t = 91

Solving for variable 't'.

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

Add '-13' to each side of the equation.
13 + -13 + 20t = 91 + -13

Combine like terms: 13 + -13 = 0
0 + 20t = 91 + -13
20t = 91 + -13

Combine like terms: 91 + -13 = 78
20t = 78

Divide each side by '20'.
t = 3.9

Simplifying
t = 3.9