-2(t-9)-(t+2)=1

Solution for -2(t-9)-(t+2)=1 equation:

Simplifying
-2(t + -9) + -1(t + 2) = 1

Reorder the terms:
-2(-9 + t) + -1(t + 2) = 1
(-9 * -2 + t * -2) + -1(t + 2) = 1
(18 + -2t) + -1(t + 2) = 1

Reorder the terms:
18 + -2t + -1(2 + t) = 1
18 + -2t + (2 * -1 + t * -1) = 1
18 + -2t + (-2 + -1t) = 1

Reorder the terms:
18 + -2 + -2t + -1t = 1

Combine like terms: 18 + -2 = 16
16 + -2t + -1t = 1

Combine like terms: -2t + -1t = -3t
16 + -3t = 1

Solving
16 + -3t = 1

Solving for variable 't'.

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

Add '-16' to each side of the equation.
16 + -16 + -3t = 1 + -16

Combine like terms: 16 + -16 = 0
0 + -3t = 1 + -16
-3t = 1 + -16

Combine like terms: 1 + -16 = -15
-3t = -15

Divide each side by '-3'.
t = 5

Simplifying
t = 5