3(t-5)+4(t-25)=4

Solution for 3(t-5)+4(t-25)=4 equation:

Simplifying
3(t + -5) + 4(t + -25) = 4

Reorder the terms:
3(-5 + t) + 4(t + -25) = 4
(-5 * 3 + t * 3) + 4(t + -25) = 4
(-15 + 3t) + 4(t + -25) = 4

Reorder the terms:
-15 + 3t + 4(-25 + t) = 4
-15 + 3t + (-25 * 4 + t * 4) = 4
-15 + 3t + (-100 + 4t) = 4

Reorder the terms:
-15 + -100 + 3t + 4t = 4

Combine like terms: -15 + -100 = -115
-115 + 3t + 4t = 4

Combine like terms: 3t + 4t = 7t
-115 + 7t = 4

Solving
-115 + 7t = 4

Solving for variable 't'.

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

Add '115' to each side of the equation.
-115 + 115 + 7t = 4 + 115

Combine like terms: -115 + 115 = 0
0 + 7t = 4 + 115
7t = 4 + 115

Combine like terms: 4 + 115 = 119
7t = 119

Divide each side by '7'.
t = 17

Simplifying
t = 17