T-m^2g=-m^2a

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Solution for T-m^2g=-m^2a equation: 


Simplifying
T + -1m2g = -1m2a

Solving
T + -1gm2 = -1am2

Solving for variable 'T'.

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

Add 'gm2' to each side of the equation.
T + -1gm2 + gm2 = -1am2 + gm2

Combine like terms: -1gm2 + gm2 = 0
T + 0 = -1am2 + gm2
T = -1am2 + gm2

Simplifying
T = -1am2 + gm2

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