9(4t+1)-14=t-(t+4)

Solution for 9(4t+1)-14=t-(t+4) equation:

Simplifying
9(4t + 1) + -14 = t + -1(t + 4)

Reorder the terms:
9(1 + 4t) + -14 = t + -1(t + 4)
(1 * 9 + 4t * 9) + -14 = t + -1(t + 4)
(9 + 36t) + -14 = t + -1(t + 4)

Reorder the terms:
9 + -14 + 36t = t + -1(t + 4)

Combine like terms: 9 + -14 = -5
-5 + 36t = t + -1(t + 4)

Reorder the terms:
-5 + 36t = t + -1(4 + t)
-5 + 36t = t + (4 * -1 + t * -1)
-5 + 36t = t + (-4 + -1t)

Reorder the terms:
-5 + 36t = -4 + t + -1t

Combine like terms: t + -1t = 0
-5 + 36t = -4 + 0
-5 + 36t = -4

Solving
-5 + 36t = -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 + 36t = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 36t = -4 + 5
36t = -4 + 5

Combine like terms: -4 + 5 = 1
36t = 1

Divide each side by '36'.
t = 0.02777777778

Simplifying
t = 0.02777777778