8(t-7)=32+2t

Solution for 8(t-7)=32+2t equation:

Simplifying
8(t + -7) = 32 + 2t

Reorder the terms:
8(-7 + t) = 32 + 2t
(-7 * 8 + t * 8) = 32 + 2t
(-56 + 8t) = 32 + 2t

Solving
-56 + 8t = 32 + 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.
-56 + 8t + -2t = 32 + 2t + -2t

Combine like terms: 8t + -2t = 6t
-56 + 6t = 32 + 2t + -2t

Combine like terms: 2t + -2t = 0
-56 + 6t = 32 + 0
-56 + 6t = 32

Add '56' to each side of the equation.
-56 + 56 + 6t = 32 + 56

Combine like terms: -56 + 56 = 0
0 + 6t = 32 + 56
6t = 32 + 56

Combine like terms: 32 + 56 = 88
6t = 88

Divide each side by '6'.
t = 14.66666667

Simplifying
t = 14.66666667