-7(t-4)-(t+6)=10

Solution for -7(t-4)-(t+6)=10 equation:

Simplifying
-7(t + -4) + -1(t + 6) = 10

Reorder the terms:
-7(-4 + t) + -1(t + 6) = 10
(-4 * -7 + t * -7) + -1(t + 6) = 10
(28 + -7t) + -1(t + 6) = 10

Reorder the terms:
28 + -7t + -1(6 + t) = 10
28 + -7t + (6 * -1 + t * -1) = 10
28 + -7t + (-6 + -1t) = 10

Reorder the terms:
28 + -6 + -7t + -1t = 10

Combine like terms: 28 + -6 = 22
22 + -7t + -1t = 10

Combine like terms: -7t + -1t = -8t
22 + -8t = 10

Solving
22 + -8t = 10

Solving for variable 't'.

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

Add '-22' to each side of the equation.
22 + -22 + -8t = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -8t = 10 + -22
-8t = 10 + -22

Combine like terms: 10 + -22 = -12
-8t = -12

Divide each side by '-8'.
t = 1.5

Simplifying
t = 1.5