30t+20(t-4)=470

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Solution for 30t+20(t-4)=470 equation: 


Simplifying
30t + 20(t + -4) = 470

Reorder the terms:
30t + 20(-4 + t) = 470
30t + (-4 * 20 + t * 20) = 470
30t + (-80 + 20t) = 470

Reorder the terms:
-80 + 30t + 20t = 470

Combine like terms: 30t + 20t = 50t
-80 + 50t = 470

Solving
-80 + 50t = 470

Solving for variable 't'.

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

Add '80' to each side of the equation.
-80 + 80 + 50t = 470 + 80

Combine like terms: -80 + 80 = 0
0 + 50t = 470 + 80
50t = 470 + 80

Combine like terms: 470 + 80 = 550
50t = 550

Divide each side by '50'.
t = 11

Simplifying
t = 11

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