5.12t+12.42(45-t)=500

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Solution for 5.12t+12.42(45-t)=500 equation: 


Simplifying
5.12t + 12.42(45 + -1t) = 500
5.12t + (45 * 12.42 + -1t * 12.42) = 500
5.12t + (558.9 + -12.42t) = 500

Reorder the terms:
558.9 + 5.12t + -12.42t = 500

Combine like terms: 5.12t + -12.42t = -7.3t
558.9 + -7.3t = 500

Solving
558.9 + -7.3t = 500

Solving for variable 't'.

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

Add '-558.9' to each side of the equation.
558.9 + -558.9 + -7.3t = 500 + -558.9

Combine like terms: 558.9 + -558.9 = 0.0
0.0 + -7.3t = 500 + -558.9
-7.3t = 500 + -558.9

Combine like terms: 500 + -558.9 = -58.9
-7.3t = -58.9

Divide each side by '-7.3'.
t = 8.068493151

Simplifying
t = 8.068493151

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