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

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


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

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

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

Combine like terms: 2t + -1t = 1t
-9 + 9t = 4 + 1t

Solving
-9 + 9t = 4 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
-9 + 9t + -1t = 4 + 1t + -1t

Combine like terms: 9t + -1t = 8t
-9 + 8t = 4 + 1t + -1t

Combine like terms: 1t + -1t = 0
-9 + 8t = 4 + 0
-9 + 8t = 4

Add '9' to each side of the equation.
-9 + 9 + 8t = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 8t = 4 + 9
8t = 4 + 9

Combine like terms: 4 + 9 = 13
8t = 13

Divide each side by '8'.
t = 1.625

Simplifying
t = 1.625

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