(3t-1)+7=8t-(3-26)

Solution for (3t-1)+7=8t-(3-26) equation:

Simplifying
(3t + -1) + 7 = 8t + -1(3 + -26)

Reorder the terms:
(-1 + 3t) + 7 = 8t + -1(3 + -26)

Remove parenthesis around (-1 + 3t)
-1 + 3t + 7 = 8t + -1(3 + -26)

Reorder the terms:
-1 + 7 + 3t = 8t + -1(3 + -26)

Combine like terms: -1 + 7 = 6
6 + 3t = 8t + -1(3 + -26)

Combine like terms: 3 + -26 = -23
6 + 3t = 8t + -1(-23)

Multiply -1 * -23
6 + 3t = 8t + 23

Reorder the terms:
6 + 3t = 23 + 8t

Solving
6 + 3t = 23 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
6 + 3t + -8t = 23 + 8t + -8t

Combine like terms: 3t + -8t = -5t
6 + -5t = 23 + 8t + -8t

Combine like terms: 8t + -8t = 0
6 + -5t = 23 + 0
6 + -5t = 23

Add '-6' to each side of the equation.
6 + -6 + -5t = 23 + -6

Combine like terms: 6 + -6 = 0
0 + -5t = 23 + -6
-5t = 23 + -6

Combine like terms: 23 + -6 = 17
-5t = 17

Divide each side by '-5'.
t = -3.4

Simplifying
t = -3.4