4-T=13(t-1)-5

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Solution for 4-T=13(t-1)-5 equation:


Simplifying
4 + -1T = 13(t + -1) + -5

Reorder the terms:
4 + -1T = 13(-1 + t) + -5
4 + -1T = (-1 * 13 + t * 13) + -5
4 + -1T = (-13 + 13t) + -5

Reorder the terms:
4 + -1T = -13 + -5 + 13t

Combine like terms: -13 + -5 = -18
4 + -1T = -18 + 13t

Solving
4 + -1T = -18 + 13t

Solving for variable 'T'.

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

Add '-4' to each side of the equation.
4 + -4 + -1T = -18 + -4 + 13t

Combine like terms: 4 + -4 = 0
0 + -1T = -18 + -4 + 13t
-1T = -18 + -4 + 13t

Combine like terms: -18 + -4 = -22
-1T = -22 + 13t

Divide each side by '-1'.
T = 22 + -13t

Simplifying
T = 22 + -13t

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