0.39(n-5)=0.4-0.2(n-7)

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Solution for 0.39(n-5)=0.4-0.2(n-7) equation: 


Simplifying
0.39(n + -5) = 0.4 + -0.2(n + -7)

Reorder the terms:
0.39(-5 + n) = 0.4 + -0.2(n + -7)
(-5 * 0.39 + n * 0.39) = 0.4 + -0.2(n + -7)
(-1.95 + 0.39n) = 0.4 + -0.2(n + -7)

Reorder the terms:
-1.95 + 0.39n = 0.4 + -0.2(-7 + n)
-1.95 + 0.39n = 0.4 + (-7 * -0.2 + n * -0.2)
-1.95 + 0.39n = 0.4 + (1.4 + -0.2n)

Combine like terms: 0.4 + 1.4 = 1.8
-1.95 + 0.39n = 1.8 + -0.2n

Solving
-1.95 + 0.39n = 1.8 + -0.2n

Solving for variable 'n'.

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

Add '0.2n' to each side of the equation.
-1.95 + 0.39n + 0.2n = 1.8 + -0.2n + 0.2n

Combine like terms: 0.39n + 0.2n = 0.59n
-1.95 + 0.59n = 1.8 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-1.95 + 0.59n = 1.8 + 0.0
-1.95 + 0.59n = 1.8

Add '1.95' to each side of the equation.
-1.95 + 1.95 + 0.59n = 1.8 + 1.95

Combine like terms: -1.95 + 1.95 = 0.00
0.00 + 0.59n = 1.8 + 1.95
0.59n = 1.8 + 1.95

Combine like terms: 1.8 + 1.95 = 3.75
0.59n = 3.75

Divide each side by '0.59'.
n = 6.355932203

Simplifying
n = 6.355932203

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