0.9(n-4)=-0.3(n-10)

Solution for 0.9(n-4)=-0.3(n-10) equation:

Simplifying
0.9(n + -4) = -0.3(n + -10)

Reorder the terms:
0.9(-4 + n) = -0.3(n + -10)
(-4 * 0.9 + n * 0.9) = -0.3(n + -10)
(-3.6 + 0.9n) = -0.3(n + -10)

Reorder the terms:
-3.6 + 0.9n = -0.3(-10 + n)
-3.6 + 0.9n = (-10 * -0.3 + n * -0.3)
-3.6 + 0.9n = (3 + -0.3n)

Solving
-3.6 + 0.9n = 3 + -0.3n

Solving for variable 'n'.

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

Add '0.3n' to each side of the equation.
-3.6 + 0.9n + 0.3n = 3 + -0.3n + 0.3n

Combine like terms: 0.9n + 0.3n = 1.2n
-3.6 + 1.2n = 3 + -0.3n + 0.3n

Combine like terms: -0.3n + 0.3n = 0.0
-3.6 + 1.2n = 3 + 0.0
-3.6 + 1.2n = 3

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1.2n = 3 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1.2n = 3 + 3.6
1.2n = 3 + 3.6

Combine like terms: 3 + 3.6 = 6.6
1.2n = 6.6

Divide each side by '1.2'.
n = 5.5

Simplifying
n = 5.5