t+4(1+t)=9t

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

Simplifying
t + 4(1 + t) = 9t
t + (1 * 4 + t * 4) = 9t
t + (4 + 4t) = 9t

Reorder the terms:
4 + t + 4t = 9t

Combine like terms: t + 4t = 5t
4 + 5t = 9t

Solving
4 + 5t = 9t

Solving for variable 't'.

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

Add '-9t' to each side of the equation.
4 + 5t + -9t = 9t + -9t

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

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

Add '-4' to each side of the equation.
4 + -4 + -4t = 0 + -4

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

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

Divide each side by '-4'.
t = 1

Simplifying
t = 1