10+3(5n-4)=-32

Solution for 10+3(5n-4)=-32 equation:

Simplifying
10 + 3(5n + -4) = -32

Reorder the terms:
10 + 3(-4 + 5n) = -32
10 + (-4 * 3 + 5n * 3) = -32
10 + (-12 + 15n) = -32

Combine like terms: 10 + -12 = -2
-2 + 15n = -32

Solving
-2 + 15n = -32

Solving for variable 'n'.

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

Add '2' to each side of the equation.
-2 + 2 + 15n = -32 + 2

Combine like terms: -2 + 2 = 0
0 + 15n = -32 + 2
15n = -32 + 2

Combine like terms: -32 + 2 = -30
15n = -30

Divide each side by '15'.
n = -2

Simplifying
n = -2