-6(5n+7)=10n

Solution for -6(5n+7)=10n equation:

Simplifying
-6(5n + 7) = 10n

Reorder the terms:
-6(7 + 5n) = 10n
(7 * -6 + 5n * -6) = 10n
(-42 + -30n) = 10n

Solving
-42 + -30n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-42 + -30n + -10n = 10n + -10n

Combine like terms: -30n + -10n = -40n
-42 + -40n = 10n + -10n

Combine like terms: 10n + -10n = 0
-42 + -40n = 0

Add '42' to each side of the equation.
-42 + 42 + -40n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -40n = 0 + 42
-40n = 0 + 42

Combine like terms: 0 + 42 = 42
-40n = 42

Divide each side by '-40'.
n = -1.05

Simplifying
n = -1.05