9(4t+1)-16=t-(t+6)

Solution for 9(4t+1)-16=t-(t+6) equation:

Simplifying
9(4t + 1) + -16 = t + -1(t + 6)

Reorder the terms:
9(1 + 4t) + -16 = t + -1(t + 6)
(1 * 9 + 4t * 9) + -16 = t + -1(t + 6)
(9 + 36t) + -16 = t + -1(t + 6)

Reorder the terms:
9 + -16 + 36t = t + -1(t + 6)

Combine like terms: 9 + -16 = -7
-7 + 36t = t + -1(t + 6)

Reorder the terms:
-7 + 36t = t + -1(6 + t)
-7 + 36t = t + (6 * -1 + t * -1)
-7 + 36t = t + (-6 + -1t)

Reorder the terms:
-7 + 36t = -6 + t + -1t

Combine like terms: t + -1t = 0
-7 + 36t = -6 + 0
-7 + 36t = -6

Solving
-7 + 36t = -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 + 36t = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 36t = -6 + 7
36t = -6 + 7

Combine like terms: -6 + 7 = 1
36t = 1

Divide each side by '36'.
t = 0.02777777778

Simplifying
t = 0.02777777778