-5(t-4)-(t+9)=2

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Solution for -5(t-4)-(t+9)=2 equation: 


Simplifying
-5(t + -4) + -1(t + 9) = 2

Reorder the terms:
-5(-4 + t) + -1(t + 9) = 2
(-4 * -5 + t * -5) + -1(t + 9) = 2
(20 + -5t) + -1(t + 9) = 2

Reorder the terms:
20 + -5t + -1(9 + t) = 2
20 + -5t + (9 * -1 + t * -1) = 2
20 + -5t + (-9 + -1t) = 2

Reorder the terms:
20 + -9 + -5t + -1t = 2

Combine like terms: 20 + -9 = 11
11 + -5t + -1t = 2

Combine like terms: -5t + -1t = -6t
11 + -6t = 2

Solving
11 + -6t = 2

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + -6t = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -6t = 2 + -11
-6t = 2 + -11

Combine like terms: 2 + -11 = -9
-6t = -9

Divide each side by '-6'.
t = 1.5

Simplifying
t = 1.5

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