9(t-3)+5t=4(3t+4)-9

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Solution for 9(t-3)+5t=4(3t+4)-9 equation:


Simplifying
9(t + -3) + 5t = 4(3t + 4) + -9

Reorder the terms:
9(-3 + t) + 5t = 4(3t + 4) + -9
(-3 * 9 + t * 9) + 5t = 4(3t + 4) + -9
(-27 + 9t) + 5t = 4(3t + 4) + -9

Combine like terms: 9t + 5t = 14t
-27 + 14t = 4(3t + 4) + -9

Reorder the terms:
-27 + 14t = 4(4 + 3t) + -9
-27 + 14t = (4 * 4 + 3t * 4) + -9
-27 + 14t = (16 + 12t) + -9

Reorder the terms:
-27 + 14t = 16 + -9 + 12t

Combine like terms: 16 + -9 = 7
-27 + 14t = 7 + 12t

Solving
-27 + 14t = 7 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
-27 + 14t + -12t = 7 + 12t + -12t

Combine like terms: 14t + -12t = 2t
-27 + 2t = 7 + 12t + -12t

Combine like terms: 12t + -12t = 0
-27 + 2t = 7 + 0
-27 + 2t = 7

Add '27' to each side of the equation.
-27 + 27 + 2t = 7 + 27

Combine like terms: -27 + 27 = 0
0 + 2t = 7 + 27
2t = 7 + 27

Combine like terms: 7 + 27 = 34
2t = 34

Divide each side by '2'.
t = 17

Simplifying
t = 17

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