0.7(n+0.7)=14(n-0.4)

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Solution for 0.7(n+0.7)=14(n-0.4) equation:


Simplifying
0.7(n + 0.7) = 14(n + -0.4)

Reorder the terms:
0.7(0.7 + n) = 14(n + -0.4)
(0.7 * 0.7 + n * 0.7) = 14(n + -0.4)
(0.49 + 0.7n) = 14(n + -0.4)

Reorder the terms:
0.49 + 0.7n = 14(-0.4 + n)
0.49 + 0.7n = (-0.4 * 14 + n * 14)
0.49 + 0.7n = (-5.6 + 14n)

Solving
0.49 + 0.7n = -5.6 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
0.49 + 0.7n + -14n = -5.6 + 14n + -14n

Combine like terms: 0.7n + -14n = -13.3n
0.49 + -13.3n = -5.6 + 14n + -14n

Combine like terms: 14n + -14n = 0
0.49 + -13.3n = -5.6 + 0
0.49 + -13.3n = -5.6

Add '-0.49' to each side of the equation.
0.49 + -0.49 + -13.3n = -5.6 + -0.49

Combine like terms: 0.49 + -0.49 = 0.00
0.00 + -13.3n = -5.6 + -0.49
-13.3n = -5.6 + -0.49

Combine like terms: -5.6 + -0.49 = -6.09
-13.3n = -6.09

Divide each side by '-13.3'.
n = 0.4578947368

Simplifying
n = 0.4578947368

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