7(5+t)-4(t+1)=

Solution for 7(5+t)-4(t+1)= equation:

Simplifying
7(5 + t) + -4(t + 1) = 0
(5 * 7 + t * 7) + -4(t + 1) = 0
(35 + 7t) + -4(t + 1) = 0

Reorder the terms:
35 + 7t + -4(1 + t) = 0
35 + 7t + (1 * -4 + t * -4) = 0
35 + 7t + (-4 + -4t) = 0

Reorder the terms:
35 + -4 + 7t + -4t = 0

Combine like terms: 35 + -4 = 31
31 + 7t + -4t = 0

Combine like terms: 7t + -4t = 3t
31 + 3t = 0

Solving
31 + 3t = 0

Solving for variable 't'.

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

Add '-31' to each side of the equation.
31 + -31 + 3t = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 3t = 0 + -31
3t = 0 + -31

Combine like terms: 0 + -31 = -31
3t = -31

Divide each side by '3'.
t = -10.33333333

Simplifying
t = -10.33333333