-3(t-9)-(t+2)=8

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Solution for -3(t-9)-(t+2)=8 equation: 


Simplifying
-3(t + -9) + -1(t + 2) = 8

Reorder the terms:
-3(-9 + t) + -1(t + 2) = 8
(-9 * -3 + t * -3) + -1(t + 2) = 8
(27 + -3t) + -1(t + 2) = 8

Reorder the terms:
27 + -3t + -1(2 + t) = 8
27 + -3t + (2 * -1 + t * -1) = 8
27 + -3t + (-2 + -1t) = 8

Reorder the terms:
27 + -2 + -3t + -1t = 8

Combine like terms: 27 + -2 = 25
25 + -3t + -1t = 8

Combine like terms: -3t + -1t = -4t
25 + -4t = 8

Solving
25 + -4t = 8

Solving for variable 't'.

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

Add '-25' to each side of the equation.
25 + -25 + -4t = 8 + -25

Combine like terms: 25 + -25 = 0
0 + -4t = 8 + -25
-4t = 8 + -25

Combine like terms: 8 + -25 = -17
-4t = -17

Divide each side by '-4'.
t = 4.25

Simplifying
t = 4.25

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