0.12n+0.07(4750-n)=0.08(4750)

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Solution for 0.12n+0.07(4750-n)=0.08(4750) equation:


Simplifying
0.12n + 0.07(4750 + -1n) = 0.08(4750)
0.12n + (4750 * 0.07 + -1n * 0.07) = 0.08(4750)
0.12n + (332.5 + -0.07n) = 0.08(4750)

Reorder the terms:
332.5 + 0.12n + -0.07n = 0.08(4750)

Combine like terms: 0.12n + -0.07n = 0.05n
332.5 + 0.05n = 0.08(4750)

Multiply 0.08 * 4750
332.5 + 0.05n = 380

Solving
332.5 + 0.05n = 380

Solving for variable 'n'.

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

Add '-332.5' to each side of the equation.
332.5 + -332.5 + 0.05n = 380 + -332.5

Combine like terms: 332.5 + -332.5 = 0.0
0.0 + 0.05n = 380 + -332.5
0.05n = 380 + -332.5

Combine like terms: 380 + -332.5 = 47.5
0.05n = 47.5

Divide each side by '0.05'.
n = 950

Simplifying
n = 950

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