13(t+1)-3(2+4)=38

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Solution for 13(t+1)-3(2+4)=38 equation: 


Simplifying
13(t + 1) + -3(2 + 4) = 38

Reorder the terms:
13(1 + t) + -3(2 + 4) = 38
(1 * 13 + t * 13) + -3(2 + 4) = 38
(13 + 13t) + -3(2 + 4) = 38

Combine like terms: 2 + 4 = 6
13 + 13t + -3(6) = 38

Multiply -3 * 6
13 + 13t + -18 = 38

Reorder the terms:
13 + -18 + 13t = 38

Combine like terms: 13 + -18 = -5
-5 + 13t = 38

Solving
-5 + 13t = 38

Solving for variable 't'.

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

Add '5' to each side of the equation.
-5 + 5 + 13t = 38 + 5

Combine like terms: -5 + 5 = 0
0 + 13t = 38 + 5
13t = 38 + 5

Combine like terms: 38 + 5 = 43
13t = 43

Divide each side by '13'.
t = 3.307692308

Simplifying
t = 3.307692308

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