3t+4t+7t+6=48

Solution for 3t+4t+7t+6=48 equation:

Simplifying
3t + 4t + 7t + 6 = 48

Reorder the terms:
6 + 3t + 4t + 7t = 48

Combine like terms: 3t + 4t = 7t
6 + 7t + 7t = 48

Combine like terms: 7t + 7t = 14t
6 + 14t = 48

Solving
6 + 14t = 48

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + 14t = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 14t = 48 + -6
14t = 48 + -6

Combine like terms: 48 + -6 = 42
14t = 42

Divide each side by '14'.
t = 3

Simplifying
t = 3