0.13n+0.05(3400-n)=0.07(3400)

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Solution for 0.13n+0.05(3400-n)=0.07(3400) equation: 


Simplifying
0.13n + 0.05(3400 + -1n) = 0.07(3400)
0.13n + (3400 * 0.05 + -1n * 0.05) = 0.07(3400)
0.13n + (170 + -0.05n) = 0.07(3400)

Reorder the terms:
170 + 0.13n + -0.05n = 0.07(3400)

Combine like terms: 0.13n + -0.05n = 0.08n
170 + 0.08n = 0.07(3400)

Multiply 0.07 * 3400
170 + 0.08n = 238

Solving
170 + 0.08n = 238

Solving for variable 'n'.

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

Add '-170' to each side of the equation.
170 + -170 + 0.08n = 238 + -170

Combine like terms: 170 + -170 = 0
0 + 0.08n = 238 + -170
0.08n = 238 + -170

Combine like terms: 238 + -170 = 68
0.08n = 68

Divide each side by '0.08'.
n = 850

Simplifying
n = 850

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