8(4t+1)-13=t-(t+4)

Solution for 8(4t+1)-13=t-(t+4) equation:

Simplifying
8(4t + 1) + -13 = t + -1(t + 4)

Reorder the terms:
8(1 + 4t) + -13 = t + -1(t + 4)
(1 * 8 + 4t * 8) + -13 = t + -1(t + 4)
(8 + 32t) + -13 = t + -1(t + 4)

Reorder the terms:
8 + -13 + 32t = t + -1(t + 4)

Combine like terms: 8 + -13 = -5
-5 + 32t = t + -1(t + 4)

Reorder the terms:
-5 + 32t = t + -1(4 + t)
-5 + 32t = t + (4 * -1 + t * -1)
-5 + 32t = t + (-4 + -1t)

Reorder the terms:
-5 + 32t = -4 + t + -1t

Combine like terms: t + -1t = 0
-5 + 32t = -4 + 0
-5 + 32t = -4

Solving
-5 + 32t = -4

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 32t = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 32t = -4 + 5
32t = -4 + 5

Combine like terms: -4 + 5 = 1
32t = 1

Divide each side by '32'.
t = 0.03125

Simplifying
t = 0.03125