.3(n-5)=.4-.2(n-70)

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Solution for .3(n-5)=.4-.2(n-70) equation: 


Simplifying
0.3(n + -5) = 0.4 + -0.2(n + -70)

Reorder the terms:
0.3(-5 + n) = 0.4 + -0.2(n + -70)
(-5 * 0.3 + n * 0.3) = 0.4 + -0.2(n + -70)
(-1.5 + 0.3n) = 0.4 + -0.2(n + -70)

Reorder the terms:
-1.5 + 0.3n = 0.4 + -0.2(-70 + n)
-1.5 + 0.3n = 0.4 + (-70 * -0.2 + n * -0.2)
-1.5 + 0.3n = 0.4 + (14 + -0.2n)

Combine like terms: 0.4 + 14 = 14.4
-1.5 + 0.3n = 14.4 + -0.2n

Solving
-1.5 + 0.3n = 14.4 + -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.
-1.5 + 0.3n + 0.2n = 14.4 + -0.2n + 0.2n

Combine like terms: 0.3n + 0.2n = 0.5n
-1.5 + 0.5n = 14.4 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-1.5 + 0.5n = 14.4 + 0.0
-1.5 + 0.5n = 14.4

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.5n = 14.4 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5n = 14.4 + 1.5
0.5n = 14.4 + 1.5

Combine like terms: 14.4 + 1.5 = 15.9
0.5n = 15.9

Divide each side by '0.5'.
n = 31.8

Simplifying
n = 31.8

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