t(12+4a)=21

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Solution for t(12+4a)=21 equation: 


Simplifying
t(12 + 4a) = 21
(12 * t + 4a * t) = 21

Reorder the terms:
(4at + 12t) = 21
(4at + 12t) = 21

Solving
4at + 12t = 21

Solving for variable 'a'.

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

Add '-12t' to each side of the equation.
4at + 12t + -12t = 21 + -12t

Combine like terms: 12t + -12t = 0
4at + 0 = 21 + -12t
4at = 21 + -12t

Divide each side by '4t'.
a = 5.25t-1 + -3

Simplifying
a = 5.25t-1 + -3

Reorder the terms:
a = -3 + 5.25t-1

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