16(t-3)=4(t+5)+8

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Solution for 16(t-3)=4(t+5)+8 equation: 


Simplifying
16(t + -3) = 4(t + 5) + 8

Reorder the terms:
16(-3 + t) = 4(t + 5) + 8
(-3 * 16 + t * 16) = 4(t + 5) + 8
(-48 + 16t) = 4(t + 5) + 8

Reorder the terms:
-48 + 16t = 4(5 + t) + 8
-48 + 16t = (5 * 4 + t * 4) + 8
-48 + 16t = (20 + 4t) + 8

Reorder the terms:
-48 + 16t = 20 + 8 + 4t

Combine like terms: 20 + 8 = 28
-48 + 16t = 28 + 4t

Solving
-48 + 16t = 28 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
-48 + 16t + -4t = 28 + 4t + -4t

Combine like terms: 16t + -4t = 12t
-48 + 12t = 28 + 4t + -4t

Combine like terms: 4t + -4t = 0
-48 + 12t = 28 + 0
-48 + 12t = 28

Add '48' to each side of the equation.
-48 + 48 + 12t = 28 + 48

Combine like terms: -48 + 48 = 0
0 + 12t = 28 + 48
12t = 28 + 48

Combine like terms: 28 + 48 = 76
12t = 76

Divide each side by '12'.
t = 6.333333333

Simplifying
t = 6.333333333

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