-5(t-3)+9T=8T-9

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Solution for -5(t-3)+9T=8T-9 equation:


Simplifying
-5(t + -3) + 9T = 8T + -9

Reorder the terms:
-5(-3 + t) + 9T = 8T + -9
(-3 * -5 + t * -5) + 9T = 8T + -9
(15 + -5t) + 9T = 8T + -9

Reorder the terms:
15 + 9T + -5t = 8T + -9

Reorder the terms:
15 + 9T + -5t = -9 + 8T

Solving
15 + 9T + -5t = -9 + 8T

Solving for variable 'T'.

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

Add '-8T' to each side of the equation.
15 + 9T + -8T + -5t = -9 + 8T + -8T

Combine like terms: 9T + -8T = 1T
15 + 1T + -5t = -9 + 8T + -8T

Combine like terms: 8T + -8T = 0
15 + 1T + -5t = -9 + 0
15 + 1T + -5t = -9

Add '-15' to each side of the equation.
15 + 1T + -15 + -5t = -9 + -15

Reorder the terms:
15 + -15 + 1T + -5t = -9 + -15

Combine like terms: 15 + -15 = 0
0 + 1T + -5t = -9 + -15
1T + -5t = -9 + -15

Combine like terms: -9 + -15 = -24
1T + -5t = -24

Add '5t' to each side of the equation.
1T + -5t + 5t = -24 + 5t

Combine like terms: -5t + 5t = 0
1T + 0 = -24 + 5t
1T = -24 + 5t

Divide each side by '1'.
T = -24 + 5t

Simplifying
T = -24 + 5t

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