-4(t-9)-(t-7)=3

Solution for -4(t-9)-(t-7)=3 equation:

Simplifying
-4(t + -9) + -1(t + -7) = 3

Reorder the terms:
-4(-9 + t) + -1(t + -7) = 3
(-9 * -4 + t * -4) + -1(t + -7) = 3
(36 + -4t) + -1(t + -7) = 3

Reorder the terms:
36 + -4t + -1(-7 + t) = 3
36 + -4t + (-7 * -1 + t * -1) = 3
36 + -4t + (7 + -1t) = 3

Reorder the terms:
36 + 7 + -4t + -1t = 3

Combine like terms: 36 + 7 = 43
43 + -4t + -1t = 3

Combine like terms: -4t + -1t = -5t
43 + -5t = 3

Solving
43 + -5t = 3

Solving for variable 't'.

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

Add '-43' to each side of the equation.
43 + -43 + -5t = 3 + -43

Combine like terms: 43 + -43 = 0
0 + -5t = 3 + -43
-5t = 3 + -43

Combine like terms: 3 + -43 = -40
-5t = -40

Divide each side by '-5'.
t = 8

Simplifying
t = 8