8(t+4)=6(t-7)+8

Solution for 8(t+4)=6(t-7)+8 equation:

Simplifying
8(t + 4) = 6(t + -7) + 8

Reorder the terms:
8(4 + t) = 6(t + -7) + 8
(4 * 8 + t * 8) = 6(t + -7) + 8
(32 + 8t) = 6(t + -7) + 8

Reorder the terms:
32 + 8t = 6(-7 + t) + 8
32 + 8t = (-7 * 6 + t * 6) + 8
32 + 8t = (-42 + 6t) + 8

Reorder the terms:
32 + 8t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
32 + 8t = -34 + 6t

Solving
32 + 8t = -34 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
32 + 8t + -6t = -34 + 6t + -6t

Combine like terms: 8t + -6t = 2t
32 + 2t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
32 + 2t = -34 + 0
32 + 2t = -34

Add '-32' to each side of the equation.
32 + -32 + 2t = -34 + -32

Combine like terms: 32 + -32 = 0
0 + 2t = -34 + -32
2t = -34 + -32

Combine like terms: -34 + -32 = -66
2t = -66

Divide each side by '2'.
t = -33

Simplifying
t = -33