9(3t+1)-13=t-(t+3)

Solution for 9(3t+1)-13=t-(t+3) equation:

Simplifying
9(3t + 1) + -13 = t + -1(t + 3)

Reorder the terms:
9(1 + 3t) + -13 = t + -1(t + 3)
(1 * 9 + 3t * 9) + -13 = t + -1(t + 3)
(9 + 27t) + -13 = t + -1(t + 3)

Reorder the terms:
9 + -13 + 27t = t + -1(t + 3)

Combine like terms: 9 + -13 = -4
-4 + 27t = t + -1(t + 3)

Reorder the terms:
-4 + 27t = t + -1(3 + t)
-4 + 27t = t + (3 * -1 + t * -1)
-4 + 27t = t + (-3 + -1t)

Reorder the terms:
-4 + 27t = -3 + t + -1t

Combine like terms: t + -1t = 0
-4 + 27t = -3 + 0
-4 + 27t = -3

Solving
-4 + 27t = -3

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 + 27t = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 27t = -3 + 4
27t = -3 + 4

Combine like terms: -3 + 4 = 1
27t = 1

Divide each side by '27'.
t = 0.03703703704

Simplifying
t = 0.03703703704