-3(t-9)-(t+7)=2

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Solution for -3(t-9)-(t+7)=2 equation: 


Simplifying
-3(t + -9) + -1(t + 7) = 2

Reorder the terms:
-3(-9 + t) + -1(t + 7) = 2
(-9 * -3 + t * -3) + -1(t + 7) = 2
(27 + -3t) + -1(t + 7) = 2

Reorder the terms:
27 + -3t + -1(7 + t) = 2
27 + -3t + (7 * -1 + t * -1) = 2
27 + -3t + (-7 + -1t) = 2

Reorder the terms:
27 + -7 + -3t + -1t = 2

Combine like terms: 27 + -7 = 20
20 + -3t + -1t = 2

Combine like terms: -3t + -1t = -4t
20 + -4t = 2

Solving
20 + -4t = 2

Solving for variable 't'.

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

Add '-20' to each side of the equation.
20 + -20 + -4t = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -4t = 2 + -20
-4t = 2 + -20

Combine like terms: 2 + -20 = -18
-4t = -18

Divide each side by '-4'.
t = 4.5

Simplifying
t = 4.5

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