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

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

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

Reorder the terms:
-7(8 + t) + 2t = 3 + t
(8 * -7 + t * -7) + 2t = 3 + t
(-56 + -7t) + 2t = 3 + t

Combine like terms: -7t + 2t = -5t
-56 + -5t = 3 + t

Solving
-56 + -5t = 3 + t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-56 + -5t + -1t = 3 + t + -1t

Combine like terms: -5t + -1t = -6t
-56 + -6t = 3 + t + -1t

Combine like terms: t + -1t = 0
-56 + -6t = 3 + 0
-56 + -6t = 3

Add '56' to each side of the equation.
-56 + 56 + -6t = 3 + 56

Combine like terms: -56 + 56 = 0
0 + -6t = 3 + 56
-6t = 3 + 56

Combine like terms: 3 + 56 = 59
-6t = 59

Divide each side by '-6'.
t = -9.833333333

Simplifying
t = -9.833333333