0.3(n-5)=0.4-2(n-7)

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Solution for 0.3(n-5)=0.4-2(n-7) equation: 


Simplifying
0.3(n + -5) = 0.4 + -2(n + -7)

Reorder the terms:
0.3(-5 + n) = 0.4 + -2(n + -7)
(-5 * 0.3 + n * 0.3) = 0.4 + -2(n + -7)
(-1.5 + 0.3n) = 0.4 + -2(n + -7)

Reorder the terms:
-1.5 + 0.3n = 0.4 + -2(-7 + n)
-1.5 + 0.3n = 0.4 + (-7 * -2 + n * -2)
-1.5 + 0.3n = 0.4 + (14 + -2n)

Combine like terms: 0.4 + 14 = 14.4
-1.5 + 0.3n = 14.4 + -2n

Solving
-1.5 + 0.3n = 14.4 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-1.5 + 0.3n + 2n = 14.4 + -2n + 2n

Combine like terms: 0.3n + 2n = 2.3n
-1.5 + 2.3n = 14.4 + -2n + 2n

Combine like terms: -2n + 2n = 0
-1.5 + 2.3n = 14.4 + 0
-1.5 + 2.3n = 14.4

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2.3n = 14.4 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2.3n = 14.4 + 1.5
2.3n = 14.4 + 1.5

Combine like terms: 14.4 + 1.5 = 15.9
2.3n = 15.9

Divide each side by '2.3'.
n = 6.913043478

Simplifying
n = 6.913043478

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