.7(n+.7)=1.4(n-.4)

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Solution for .7(n+.7)=1.4(n-.4) equation: 


Simplifying
0.7(n + 0.7) = 1.4(n + -0.4)

Reorder the terms:
0.7(0.7 + n) = 1.4(n + -0.4)
(0.7 * 0.7 + n * 0.7) = 1.4(n + -0.4)
(0.49 + 0.7n) = 1.4(n + -0.4)

Reorder the terms:
0.49 + 0.7n = 1.4(-0.4 + n)
0.49 + 0.7n = (-0.4 * 1.4 + n * 1.4)
0.49 + 0.7n = (-0.56 + 1.4n)

Solving
0.49 + 0.7n = -0.56 + 1.4n

Solving for variable 'n'.

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

Add '-1.4n' to each side of the equation.
0.49 + 0.7n + -1.4n = -0.56 + 1.4n + -1.4n

Combine like terms: 0.7n + -1.4n = -0.7n
0.49 + -0.7n = -0.56 + 1.4n + -1.4n

Combine like terms: 1.4n + -1.4n = 0.0
0.49 + -0.7n = -0.56 + 0.0
0.49 + -0.7n = -0.56

Add '-0.49' to each side of the equation.
0.49 + -0.49 + -0.7n = -0.56 + -0.49

Combine like terms: 0.49 + -0.49 = 0.00
0.00 + -0.7n = -0.56 + -0.49
-0.7n = -0.56 + -0.49

Combine like terms: -0.56 + -0.49 = -1.05
-0.7n = -1.05

Divide each side by '-0.7'.
n = 1.5

Simplifying
n = 1.5

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