0.05t+0.02(6000-t)=270

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Solution for 0.05t+0.02(6000-t)=270 equation:


Simplifying
0.05t + 0.02(6000 + -1t) = 270
0.05t + (6000 * 0.02 + -1t * 0.02) = 270
0.05t + (120 + -0.02t) = 270

Reorder the terms:
120 + 0.05t + -0.02t = 270

Combine like terms: 0.05t + -0.02t = 0.03t
120 + 0.03t = 270

Solving
120 + 0.03t = 270

Solving for variable 't'.

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

Add '-120' to each side of the equation.
120 + -120 + 0.03t = 270 + -120

Combine like terms: 120 + -120 = 0
0 + 0.03t = 270 + -120
0.03t = 270 + -120

Combine like terms: 270 + -120 = 150
0.03t = 150

Divide each side by '0.03'.
t = 5000

Simplifying
t = 5000

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