2(4t+1)=t+9+t-7

Solution for 2(4t+1)=t+9+t-7 equation:

Simplifying
2(4t + 1) = t + 9 + t + -7

Reorder the terms:
2(1 + 4t) = t + 9 + t + -7
(1 * 2 + 4t * 2) = t + 9 + t + -7
(2 + 8t) = t + 9 + t + -7

Reorder the terms:
2 + 8t = 9 + -7 + t + t

Combine like terms: 9 + -7 = 2
2 + 8t = 2 + t + t

Combine like terms: t + t = 2t
2 + 8t = 2 + 2t

Add '-2' to each side of the equation.
2 + -2 + 8t = 2 + -2 + 2t

Combine like terms: 2 + -2 = 0
0 + 8t = 2 + -2 + 2t
8t = 2 + -2 + 2t

Combine like terms: 2 + -2 = 0
8t = 0 + 2t
8t = 2t

Solving
8t = 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.
8t + -2t = 2t + -2t

Combine like terms: 8t + -2t = 6t
6t = 2t + -2t

Combine like terms: 2t + -2t = 0
6t = 0

Divide each side by '6'.
t = 0

Simplifying
t = 0