0.2n+0.5=0.7n-4

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Solution for 0.2n+0.5=0.7n-4 equation: 


Simplifying
0.2n + 0.5 = 0.7n + -4

Reorder the terms:
0.5 + 0.2n = 0.7n + -4

Reorder the terms:
0.5 + 0.2n = -4 + 0.7n

Solving
0.5 + 0.2n = -4 + 0.7n

Solving for variable 'n'.

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

Add '-0.7n' to each side of the equation.
0.5 + 0.2n + -0.7n = -4 + 0.7n + -0.7n

Combine like terms: 0.2n + -0.7n = -0.5n
0.5 + -0.5n = -4 + 0.7n + -0.7n

Combine like terms: 0.7n + -0.7n = 0.0
0.5 + -0.5n = -4 + 0.0
0.5 + -0.5n = -4

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.5n = -4 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.5n = -4 + -0.5
-0.5n = -4 + -0.5

Combine like terms: -4 + -0.5 = -4.5
-0.5n = -4.5

Divide each side by '-0.5'.
n = 9

Simplifying
n = 9

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