300000=n-((100000*0.07)+((n-100000)*0.03))

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Solution for 300000=n-((100000*0.07)+((n-100000)*0.03)) equation: 


Simplifying
300000 = n + -1((100000 * 0.07) + ((n + -100000) * 0.03))

Multiply 100000 * 0.07
300000 = n + -1((7000) + ((n + -100000) * 0.03))
300000 = n + -1(7000 + ((n + -100000) * 0.03))

Reorder the terms:
300000 = n + -1(7000 + ((-100000 + n) * 0.03))

Reorder the terms for easier multiplication:
300000 = n + -1(7000 + (0.03(-100000 + n)))
300000 = n + -1(7000 + ((-100000 * 0.03 + n * 0.03)))
300000 = n + -1(7000 + ((-3000 + 0.03n)))
300000 = n + -1(7000 + (-3000 + 0.03n))

Remove parenthesis around (-3000 + 0.03n)
300000 = n + -1(7000 + -3000 + 0.03n)

Combine like terms: 7000 + -3000 = 4000
300000 = n + -1(4000 + 0.03n)
300000 = n + (4000 * -1 + 0.03n * -1)
300000 = n + (-4000 + -0.03n)

Reorder the terms:
300000 = -4000 + n + -0.03n

Combine like terms: n + -0.03n = 0.97n
300000 = -4000 + 0.97n

Solving
300000 = -4000 + 0.97n

Solving for variable 'n'.

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

Add '-0.97n' to each side of the equation.
300000 + -0.97n = -4000 + 0.97n + -0.97n

Combine like terms: 0.97n + -0.97n = 0.00
300000 + -0.97n = -4000 + 0.00
300000 + -0.97n = -4000

Add '-300000' to each side of the equation.
300000 + -300000 + -0.97n = -4000 + -300000

Combine like terms: 300000 + -300000 = 0
0 + -0.97n = -4000 + -300000
-0.97n = -4000 + -300000

Combine like terms: -4000 + -300000 = -304000
-0.97n = -304000

Divide each side by '-0.97'.
n = 313402.0619

Simplifying
n = 313402.0619

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