(t*6)+((t-30)*6)=600

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Solution for (t*6)+((t-30)*6)=600 equation:


Simplifying
(t * 6) + ((t + -30) * 6) = 600

Reorder the terms for easier multiplication:
(6t) + ((t + -30) * 6) = 600

Reorder the terms:
(6t) + ((-30 + t) * 6) = 600

Reorder the terms for easier multiplication:
(6t) + (6(-30 + t)) = 600
(6t) + ((-30 * 6 + t * 6)) = 600
(6t) + ((-180 + 6t)) = 600
(6t) + (-180 + 6t) = 600

Remove parenthesis around (-180 + 6t)
(6t) + -180 + 6t = 600

Reorder the terms:
-180 + (6t) + 6t = 600

Combine like terms: (6t) + 6t = 12t
-180 + 12t = 600

Solving
-180 + 12t = 600

Solving for variable 't'.

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

Add '180' to each side of the equation.
-180 + 180 + 12t = 600 + 180

Combine like terms: -180 + 180 = 0
0 + 12t = 600 + 180
12t = 600 + 180

Combine like terms: 600 + 180 = 780
12t = 780

Divide each side by '12'.
t = 65

Simplifying
t = 65

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