3(3t+1)-7=t-(t+3)

Solution for 3(3t+1)-7=t-(t+3) equation:

Simplifying
3(3t + 1) + -7 = t + -1(t + 3)

Reorder the terms:
3(1 + 3t) + -7 = t + -1(t + 3)
(1 * 3 + 3t * 3) + -7 = t + -1(t + 3)
(3 + 9t) + -7 = t + -1(t + 3)

Reorder the terms:
3 + -7 + 9t = t + -1(t + 3)

Combine like terms: 3 + -7 = -4
-4 + 9t = t + -1(t + 3)

Reorder the terms:
-4 + 9t = t + -1(3 + t)
-4 + 9t = t + (3 * -1 + t * -1)
-4 + 9t = t + (-3 + -1t)

Reorder the terms:
-4 + 9t = -3 + t + -1t

Combine like terms: t + -1t = 0
-4 + 9t = -3 + 0
-4 + 9t = -3

Solving
-4 + 9t = -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 + 9t = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 9t = -3 + 4
9t = -3 + 4

Combine like terms: -3 + 4 = 1
9t = 1

Divide each side by '9'.
t = 0.1111111111

Simplifying
t = 0.1111111111