-6(t-2)-(t+4)=10

Solution for -6(t-2)-(t+4)=10 equation:

Simplifying
-6(t + -2) + -1(t + 4) = 10

Reorder the terms:
-6(-2 + t) + -1(t + 4) = 10
(-2 * -6 + t * -6) + -1(t + 4) = 10
(12 + -6t) + -1(t + 4) = 10

Reorder the terms:
12 + -6t + -1(4 + t) = 10
12 + -6t + (4 * -1 + t * -1) = 10
12 + -6t + (-4 + -1t) = 10

Reorder the terms:
12 + -4 + -6t + -1t = 10

Combine like terms: 12 + -4 = 8
8 + -6t + -1t = 10

Combine like terms: -6t + -1t = -7t
8 + -7t = 10

Solving
8 + -7t = 10

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + -7t = 10 + -8

Combine like terms: 8 + -8 = 0
0 + -7t = 10 + -8
-7t = 10 + -8

Combine like terms: 10 + -8 = 2
-7t = 2

Divide each side by '-7'.
t = -0.2857142857

Simplifying
t = -0.2857142857