.7(1-n)=.15(n+4)

Solution for .7(1-n)=.15(n+4) equation:

Simplifying
0.7(1 + -1n) = 0.15(n + 4)
(1 * 0.7 + -1n * 0.7) = 0.15(n + 4)
(0.7 + -0.7n) = 0.15(n + 4)

Reorder the terms:
0.7 + -0.7n = 0.15(4 + n)
0.7 + -0.7n = (4 * 0.15 + n * 0.15)
0.7 + -0.7n = (0.6 + 0.15n)

Solving
0.7 + -0.7n = 0.6 + 0.15n

Solving for variable 'n'.

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

Add '-0.15n' to each side of the equation.
0.7 + -0.7n + -0.15n = 0.6 + 0.15n + -0.15n

Combine like terms: -0.7n + -0.15n = -0.85n
0.7 + -0.85n = 0.6 + 0.15n + -0.15n

Combine like terms: 0.15n + -0.15n = 0.00
0.7 + -0.85n = 0.6 + 0.00
0.7 + -0.85n = 0.6

Add '-0.7' to each side of the equation.
0.7 + -0.7 + -0.85n = 0.6 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.85n = 0.6 + -0.7
-0.85n = 0.6 + -0.7

Combine like terms: 0.6 + -0.7 = -0.1
-0.85n = -0.1

Divide each side by '-0.85'.
n = 0.1176470588

Simplifying
n = 0.1176470588