4(4t+1)-11=t-(t+6)

Solution for 4(4t+1)-11=t-(t+6) equation:

Simplifying
4(4t + 1) + -11 = t + -1(t + 6)

Reorder the terms:
4(1 + 4t) + -11 = t + -1(t + 6)
(1 * 4 + 4t * 4) + -11 = t + -1(t + 6)
(4 + 16t) + -11 = t + -1(t + 6)

Reorder the terms:
4 + -11 + 16t = t + -1(t + 6)

Combine like terms: 4 + -11 = -7
-7 + 16t = t + -1(t + 6)

Reorder the terms:
-7 + 16t = t + -1(6 + t)
-7 + 16t = t + (6 * -1 + t * -1)
-7 + 16t = t + (-6 + -1t)

Reorder the terms:
-7 + 16t = -6 + t + -1t

Combine like terms: t + -1t = 0
-7 + 16t = -6 + 0
-7 + 16t = -6

Solving
-7 + 16t = -6

Solving for variable 't'.

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

Add '7' to each side of the equation.
-7 + 7 + 16t = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 16t = -6 + 7
16t = -6 + 7

Combine like terms: -6 + 7 = 1
16t = 1

Divide each side by '16'.
t = 0.0625

Simplifying
t = 0.0625