3(t+1)=4t-1

Solution for 3(t+1)=4t-1 equation:

Simplifying
3(t + 1) = 4t + -1

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

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

Solving
3 + 3t = -1 + 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.
3 + 3t + -4t = -1 + 4t + -4t

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

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

Add '-3' to each side of the equation.
3 + -3 + -1t = -1 + -3

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

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

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

Simplifying
t = 4