-5(t-8)-(t+4)=2

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Solution for -5(t-8)-(t+4)=2 equation: 


Simplifying
-5(t + -8) + -1(t + 4) = 2

Reorder the terms:
-5(-8 + t) + -1(t + 4) = 2
(-8 * -5 + t * -5) + -1(t + 4) = 2
(40 + -5t) + -1(t + 4) = 2

Reorder the terms:
40 + -5t + -1(4 + t) = 2
40 + -5t + (4 * -1 + t * -1) = 2
40 + -5t + (-4 + -1t) = 2

Reorder the terms:
40 + -4 + -5t + -1t = 2

Combine like terms: 40 + -4 = 36
36 + -5t + -1t = 2

Combine like terms: -5t + -1t = -6t
36 + -6t = 2

Solving
36 + -6t = 2

Solving for variable 't'.

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

Add '-36' to each side of the equation.
36 + -36 + -6t = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -6t = 2 + -36
-6t = 2 + -36

Combine like terms: 2 + -36 = -34
-6t = -34

Divide each side by '-6'.
t = 5.666666667

Simplifying
t = 5.666666667

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