-7(t-5)-(t+2)=4

Solution for -7(t-5)-(t+2)=4 equation:

Simplifying
-7(t + -5) + -1(t + 2) = 4

Reorder the terms:
-7(-5 + t) + -1(t + 2) = 4
(-5 * -7 + t * -7) + -1(t + 2) = 4
(35 + -7t) + -1(t + 2) = 4

Reorder the terms:
35 + -7t + -1(2 + t) = 4
35 + -7t + (2 * -1 + t * -1) = 4
35 + -7t + (-2 + -1t) = 4

Reorder the terms:
35 + -2 + -7t + -1t = 4

Combine like terms: 35 + -2 = 33
33 + -7t + -1t = 4

Combine like terms: -7t + -1t = -8t
33 + -8t = 4

Solving
33 + -8t = 4

Solving for variable 't'.

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

Add '-33' to each side of the equation.
33 + -33 + -8t = 4 + -33

Combine like terms: 33 + -33 = 0
0 + -8t = 4 + -33
-8t = 4 + -33

Combine like terms: 4 + -33 = -29
-8t = -29

Divide each side by '-8'.
t = 3.625

Simplifying
t = 3.625