30t+45(t-6)=780

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Solution for 30t+45(t-6)=780 equation:


Simplifying
30t + 45(t + -6) = 780

Reorder the terms:
30t + 45(-6 + t) = 780
30t + (-6 * 45 + t * 45) = 780
30t + (-270 + 45t) = 780

Reorder the terms:
-270 + 30t + 45t = 780

Combine like terms: 30t + 45t = 75t
-270 + 75t = 780

Solving
-270 + 75t = 780

Solving for variable 't'.

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

Add '270' to each side of the equation.
-270 + 270 + 75t = 780 + 270

Combine like terms: -270 + 270 = 0
0 + 75t = 780 + 270
75t = 780 + 270

Combine like terms: 780 + 270 = 1050
75t = 1050

Divide each side by '75'.
t = 14

Simplifying
t = 14

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