1.5n+6=.25n-3

Solution for 1.5n+6=.25n-3 equation:

Simplifying
1.5n + 6 = 0.25n + -3

Reorder the terms:
6 + 1.5n = 0.25n + -3

Reorder the terms:
6 + 1.5n = -3 + 0.25n

Solving
6 + 1.5n = -3 + 0.25n

Solving for variable 'n'.

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

Add '-0.25n' to each side of the equation.
6 + 1.5n + -0.25n = -3 + 0.25n + -0.25n

Combine like terms: 1.5n + -0.25n = 1.25n
6 + 1.25n = -3 + 0.25n + -0.25n

Combine like terms: 0.25n + -0.25n = 0.00
6 + 1.25n = -3 + 0.00
6 + 1.25n = -3

Add '-6' to each side of the equation.
6 + -6 + 1.25n = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 1.25n = -3 + -6
1.25n = -3 + -6

Combine like terms: -3 + -6 = -9
1.25n = -9

Divide each side by '1.25'.
n = -7.2

Simplifying
n = -7.2