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

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

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

Reorder the terms:
4(1 + 4t) = t + -1(t + 4)
(1 * 4 + 4t * 4) = t + -1(t + 4)
(4 + 16t) = t + -1(t + 4)

Reorder the terms:
4 + 16t = t + -1(4 + t)
4 + 16t = t + (4 * -1 + t * -1)
4 + 16t = t + (-4 + -1t)

Reorder the terms:
4 + 16t = -4 + t + -1t

Combine like terms: t + -1t = 0
4 + 16t = -4 + 0
4 + 16t = -4

Solving
4 + 16t = -4

Solving for variable 't'.

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

Add '-4' to each side of the equation.
4 + -4 + 16t = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 16t = -4 + -4
16t = -4 + -4

Combine like terms: -4 + -4 = -8
16t = -8

Divide each side by '16'.
t = -0.5

Simplifying
t = -0.5