3+9(t-3)=4(t+3)+4

Solution for 3+9(t-3)=4(t+3)+4 equation:

Simplifying
3 + 9(t + -3) = 4(t + 3) + 4

Reorder the terms:
3 + 9(-3 + t) = 4(t + 3) + 4
3 + (-3 * 9 + t * 9) = 4(t + 3) + 4
3 + (-27 + 9t) = 4(t + 3) + 4

Combine like terms: 3 + -27 = -24
-24 + 9t = 4(t + 3) + 4

Reorder the terms:
-24 + 9t = 4(3 + t) + 4
-24 + 9t = (3 * 4 + t * 4) + 4
-24 + 9t = (12 + 4t) + 4

Reorder the terms:
-24 + 9t = 12 + 4 + 4t

Combine like terms: 12 + 4 = 16
-24 + 9t = 16 + 4t

Solving
-24 + 9t = 16 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-24 + 9t + -4t = 16 + 4t + -4t

Combine like terms: 9t + -4t = 5t
-24 + 5t = 16 + 4t + -4t

Combine like terms: 4t + -4t = 0
-24 + 5t = 16 + 0
-24 + 5t = 16

Add '24' to each side of the equation.
-24 + 24 + 5t = 16 + 24

Combine like terms: -24 + 24 = 0
0 + 5t = 16 + 24
5t = 16 + 24

Combine like terms: 16 + 24 = 40
5t = 40

Divide each side by '5'.
t = 8

Simplifying
t = 8