6(t-4)+5t=48-t

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Solution for 6(t-4)+5t=48-t equation:


Simplifying
6(t + -4) + 5t = 48 + -1t

Reorder the terms:
6(-4 + t) + 5t = 48 + -1t
(-4 * 6 + t * 6) + 5t = 48 + -1t
(-24 + 6t) + 5t = 48 + -1t

Combine like terms: 6t + 5t = 11t
-24 + 11t = 48 + -1t

Solving
-24 + 11t = 48 + -1t

Solving for variable 't'.

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

Add 't' to each side of the equation.
-24 + 11t + t = 48 + -1t + t

Combine like terms: 11t + t = 12t
-24 + 12t = 48 + -1t + t

Combine like terms: -1t + t = 0
-24 + 12t = 48 + 0
-24 + 12t = 48

Add '24' to each side of the equation.
-24 + 24 + 12t = 48 + 24

Combine like terms: -24 + 24 = 0
0 + 12t = 48 + 24
12t = 48 + 24

Combine like terms: 48 + 24 = 72
12t = 72

Divide each side by '12'.
t = 6

Simplifying
t = 6

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