-5(t-9)-(t+2)=8

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Solution for -5(t-9)-(t+2)=8 equation: 


Simplifying
-5(t + -9) + -1(t + 2) = 8

Reorder the terms:
-5(-9 + t) + -1(t + 2) = 8
(-9 * -5 + t * -5) + -1(t + 2) = 8
(45 + -5t) + -1(t + 2) = 8

Reorder the terms:
45 + -5t + -1(2 + t) = 8
45 + -5t + (2 * -1 + t * -1) = 8
45 + -5t + (-2 + -1t) = 8

Reorder the terms:
45 + -2 + -5t + -1t = 8

Combine like terms: 45 + -2 = 43
43 + -5t + -1t = 8

Combine like terms: -5t + -1t = -6t
43 + -6t = 8

Solving
43 + -6t = 8

Solving for variable 't'.

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

Add '-43' to each side of the equation.
43 + -43 + -6t = 8 + -43

Combine like terms: 43 + -43 = 0
0 + -6t = 8 + -43
-6t = 8 + -43

Combine like terms: 8 + -43 = -35
-6t = -35

Divide each side by '-6'.
t = 5.833333333

Simplifying
t = 5.833333333

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