-4(t-6)-(t+8)=2

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Solution for -4(t-6)-(t+8)=2 equation: 


Simplifying
-4(t + -6) + -1(t + 8) = 2

Reorder the terms:
-4(-6 + t) + -1(t + 8) = 2
(-6 * -4 + t * -4) + -1(t + 8) = 2
(24 + -4t) + -1(t + 8) = 2

Reorder the terms:
24 + -4t + -1(8 + t) = 2
24 + -4t + (8 * -1 + t * -1) = 2
24 + -4t + (-8 + -1t) = 2

Reorder the terms:
24 + -8 + -4t + -1t = 2

Combine like terms: 24 + -8 = 16
16 + -4t + -1t = 2

Combine like terms: -4t + -1t = -5t
16 + -5t = 2

Solving
16 + -5t = 2

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 + -5t = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -5t = 2 + -16
-5t = 2 + -16

Combine like terms: 2 + -16 = -14
-5t = -14

Divide each side by '-5'.
t = 2.8

Simplifying
t = 2.8

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