-3(t-9)-(t+4)=10

Solution for -3(t-9)-(t+4)=10 equation:

Simplifying
-3(t + -9) + -1(t + 4) = 10

Reorder the terms:
-3(-9 + t) + -1(t + 4) = 10
(-9 * -3 + t * -3) + -1(t + 4) = 10
(27 + -3t) + -1(t + 4) = 10

Reorder the terms:
27 + -3t + -1(4 + t) = 10
27 + -3t + (4 * -1 + t * -1) = 10
27 + -3t + (-4 + -1t) = 10

Reorder the terms:
27 + -4 + -3t + -1t = 10

Combine like terms: 27 + -4 = 23
23 + -3t + -1t = 10

Combine like terms: -3t + -1t = -4t
23 + -4t = 10

Solving
23 + -4t = 10

Solving for variable 't'.

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

Add '-23' to each side of the equation.
23 + -23 + -4t = 10 + -23

Combine like terms: 23 + -23 = 0
0 + -4t = 10 + -23
-4t = 10 + -23

Combine like terms: 10 + -23 = -13
-4t = -13

Divide each side by '-4'.
t = 3.25

Simplifying
t = 3.25