5-(T+3)=-1+2(t-3)t

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Solution for 5-(T+3)=-1+2(t-3)t equation:


Simplifying
5 + -1(T + 3) = -1 + 2(t + -3) * t

Reorder the terms:
5 + -1(3 + T) = -1 + 2(t + -3) * t
5 + (3 * -1 + T * -1) = -1 + 2(t + -3) * t
5 + (-3 + -1T) = -1 + 2(t + -3) * t

Combine like terms: 5 + -3 = 2
2 + -1T = -1 + 2(t + -3) * t

Reorder the terms:
2 + -1T = -1 + 2(-3 + t) * t

Reorder the terms for easier multiplication:
2 + -1T = -1 + 2t(-3 + t)
2 + -1T = -1 + (-3 * 2t + t * 2t)
2 + -1T = -1 + (-6t + 2t2)

Solving
2 + -1T = -1 + -6t + 2t2

Solving for variable 'T'.

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

Add '-2' to each side of the equation.
2 + -2 + -1T = -1 + -6t + -2 + 2t2

Combine like terms: 2 + -2 = 0
0 + -1T = -1 + -6t + -2 + 2t2
-1T = -1 + -6t + -2 + 2t2

Reorder the terms:
-1T = -1 + -2 + -6t + 2t2

Combine like terms: -1 + -2 = -3
-1T = -3 + -6t + 2t2

Divide each side by '-1'.
T = 3 + 6t + -2t2

Simplifying
T = 3 + 6t + -2t2

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