400+50g+.06(400+50g)=742

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Solution for 400+50g+.06(400+50g)=742 equation:


Simplifying
400 + 50g + 0.06(400 + 50g) = 742
400 + 50g + (400 * 0.06 + 50g * 0.06) = 742
400 + 50g + (24 + 3g) = 742

Reorder the terms:
400 + 24 + 50g + 3g = 742

Combine like terms: 400 + 24 = 424
424 + 50g + 3g = 742

Combine like terms: 50g + 3g = 53g
424 + 53g = 742

Solving
424 + 53g = 742

Solving for variable 'g'.

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

Add '-424' to each side of the equation.
424 + -424 + 53g = 742 + -424

Combine like terms: 424 + -424 = 0
0 + 53g = 742 + -424
53g = 742 + -424

Combine like terms: 742 + -424 = 318
53g = 318

Divide each side by '53'.
g = 6

Simplifying
g = 6

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