-2.4(n-1.5)=2.4(n-14)

Solution for -2.4(n-1.5)=2.4(n-14) equation:

Simplifying
-2.4(n + -1.5) = 2.4(n + -14)

Reorder the terms:
-2.4(-1.5 + n) = 2.4(n + -14)
(-1.5 * -2.4 + n * -2.4) = 2.4(n + -14)
(3.6 + -2.4n) = 2.4(n + -14)

Reorder the terms:
3.6 + -2.4n = 2.4(-14 + n)
3.6 + -2.4n = (-14 * 2.4 + n * 2.4)
3.6 + -2.4n = (-33.6 + 2.4n)

Solving
3.6 + -2.4n = -33.6 + 2.4n

Solving for variable 'n'.

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

Add '-2.4n' to each side of the equation.
3.6 + -2.4n + -2.4n = -33.6 + 2.4n + -2.4n

Combine like terms: -2.4n + -2.4n = -4.8n
3.6 + -4.8n = -33.6 + 2.4n + -2.4n

Combine like terms: 2.4n + -2.4n = 0.0
3.6 + -4.8n = -33.6 + 0.0
3.6 + -4.8n = -33.6

Add '-3.6' to each side of the equation.
3.6 + -3.6 + -4.8n = -33.6 + -3.6

Combine like terms: 3.6 + -3.6 = 0.0
0.0 + -4.8n = -33.6 + -3.6
-4.8n = -33.6 + -3.6

Combine like terms: -33.6 + -3.6 = -37.2
-4.8n = -37.2

Divide each side by '-4.8'.
n = 7.75

Simplifying
n = 7.75