.3(t+100)=500

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Solution for .3(t+100)=500 equation: 


Simplifying
0.3(t + 100) = 500

Reorder the terms:
0.3(100 + t) = 500
(100 * 0.3 + t * 0.3) = 500
(30 + 0.3t) = 500

Solving
30 + 0.3t = 500

Solving for variable 't'.

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

Add '-30' to each side of the equation.
30 + -30 + 0.3t = 500 + -30

Combine like terms: 30 + -30 = 0
0 + 0.3t = 500 + -30
0.3t = 500 + -30

Combine like terms: 500 + -30 = 470
0.3t = 470

Divide each side by '0.3'.
t = 1566.666667

Simplifying
t = 1566.666667

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