(t*7.5)+((t+35.8)*7.5)=471

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Solution for (t*7.5)+((t+35.8)*7.5)=471 equation:


Simplifying
(t * 7.5) + ((t + 35.8) * 7.5) = 471

Reorder the terms for easier multiplication:
(7.5t) + ((t + 35.8) * 7.5) = 471

Reorder the terms:
(7.5t) + ((35.8 + t) * 7.5) = 471

Reorder the terms for easier multiplication:
(7.5t) + (7.5(35.8 + t)) = 471
(7.5t) + ((35.8 * 7.5 + t * 7.5)) = 471
(7.5t) + ((268.5 + 7.5t)) = 471
(7.5t) + (268.5 + 7.5t) = 471

Remove parenthesis around (268.5 + 7.5t)
(7.5t) + 268.5 + 7.5t = 471

Reorder the terms:
268.5 + (7.5t) + 7.5t = 471

Combine like terms: (7.5t) + 7.5t = 15t
268.5 + 15t = 471

Solving
268.5 + 15t = 471

Solving for variable 't'.

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

Add '-268.5' to each side of the equation.
268.5 + -268.5 + 15t = 471 + -268.5

Combine like terms: 268.5 + -268.5 = 0.0
0.0 + 15t = 471 + -268.5
15t = 471 + -268.5

Combine like terms: 471 + -268.5 = 202.5
15t = 202.5

Divide each side by '15'.
t = 13.5

Simplifying
t = 13.5

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