t-2(3w-2t)=2t+9

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Solution for t-2(3w-2t)=2t+9 equation:


Simplifying
t + -2(3w + -2t) = 2t + 9

Reorder the terms:
t + -2(-2t + 3w) = 2t + 9
t + (-2t * -2 + 3w * -2) = 2t + 9
t + (4t + -6w) = 2t + 9

Combine like terms: t + 4t = 5t
5t + -6w = 2t + 9

Reorder the terms:
5t + -6w = 9 + 2t

Solving
5t + -6w = 9 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
5t + -2t + -6w = 9 + 2t + -2t

Combine like terms: 5t + -2t = 3t
3t + -6w = 9 + 2t + -2t

Combine like terms: 2t + -2t = 0
3t + -6w = 9 + 0
3t + -6w = 9

Add '6w' to each side of the equation.
3t + -6w + 6w = 9 + 6w

Combine like terms: -6w + 6w = 0
3t + 0 = 9 + 6w
3t = 9 + 6w

Divide each side by '3'.
t = 3 + 2w

Simplifying
t = 3 + 2w

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