9(t-1)=6(t+2)-t

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Solution for 9(t-1)=6(t+2)-t equation:


Simplifying
9(t + -1) = 6(t + 2) + -1t

Reorder the terms:
9(-1 + t) = 6(t + 2) + -1t
(-1 * 9 + t * 9) = 6(t + 2) + -1t
(-9 + 9t) = 6(t + 2) + -1t

Reorder the terms:
-9 + 9t = 6(2 + t) + -1t
-9 + 9t = (2 * 6 + t * 6) + -1t
-9 + 9t = (12 + 6t) + -1t

Combine like terms: 6t + -1t = 5t
-9 + 9t = 12 + 5t

Solving
-9 + 9t = 12 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
-9 + 9t + -5t = 12 + 5t + -5t

Combine like terms: 9t + -5t = 4t
-9 + 4t = 12 + 5t + -5t

Combine like terms: 5t + -5t = 0
-9 + 4t = 12 + 0
-9 + 4t = 12

Add '9' to each side of the equation.
-9 + 9 + 4t = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 4t = 12 + 9
4t = 12 + 9

Combine like terms: 12 + 9 = 21
4t = 21

Divide each side by '4'.
t = 5.25

Simplifying
t = 5.25

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