13(t-4)+5=6(3t+4)-9

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Solution for 13(t-4)+5=6(3t+4)-9 equation: 


Simplifying
13(t + -4) + 5 = 6(3t + 4) + -9

Reorder the terms:
13(-4 + t) + 5 = 6(3t + 4) + -9
(-4 * 13 + t * 13) + 5 = 6(3t + 4) + -9
(-52 + 13t) + 5 = 6(3t + 4) + -9

Reorder the terms:
-52 + 5 + 13t = 6(3t + 4) + -9

Combine like terms: -52 + 5 = -47
-47 + 13t = 6(3t + 4) + -9

Reorder the terms:
-47 + 13t = 6(4 + 3t) + -9
-47 + 13t = (4 * 6 + 3t * 6) + -9
-47 + 13t = (24 + 18t) + -9

Reorder the terms:
-47 + 13t = 24 + -9 + 18t

Combine like terms: 24 + -9 = 15
-47 + 13t = 15 + 18t

Solving
-47 + 13t = 15 + 18t

Solving for variable 't'.

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

Add '-18t' to each side of the equation.
-47 + 13t + -18t = 15 + 18t + -18t

Combine like terms: 13t + -18t = -5t
-47 + -5t = 15 + 18t + -18t

Combine like terms: 18t + -18t = 0
-47 + -5t = 15 + 0
-47 + -5t = 15

Add '47' to each side of the equation.
-47 + 47 + -5t = 15 + 47

Combine like terms: -47 + 47 = 0
0 + -5t = 15 + 47
-5t = 15 + 47

Combine like terms: 15 + 47 = 62
-5t = 62

Divide each side by '-5'.
t = -12.4

Simplifying
t = -12.4

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