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

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


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

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

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

Reorder the terms:
45 + -9 + -9t + -1t = 2

Combine like terms: 45 + -9 = 36
36 + -9t + -1t = 2

Combine like terms: -9t + -1t = -10t
36 + -10t = 2

Solving
36 + -10t = 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 + -10t = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -10t = 2 + -36
-10t = 2 + -36

Combine like terms: 2 + -36 = -34
-10t = -34

Divide each side by '-10'.
t = 3.4

Simplifying
t = 3.4

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