-6(4n+7)=10n

Solution for -6(4n+7)=10n equation:

Simplifying
-6(4n + 7) = 10n

Reorder the terms:
-6(7 + 4n) = 10n
(7 * -6 + 4n * -6) = 10n
(-42 + -24n) = 10n

Solving
-42 + -24n = 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 + -24n + -10n = 10n + -10n

Combine like terms: -24n + -10n = -34n
-42 + -34n = 10n + -10n

Combine like terms: 10n + -10n = 0
-42 + -34n = 0

Add '42' to each side of the equation.
-42 + 42 + -34n = 0 + 42

Combine like terms: -42 + 42 = 0
0 + -34n = 0 + 42
-34n = 0 + 42

Combine like terms: 0 + 42 = 42
-34n = 42

Divide each side by '-34'.
n = -1.235294118

Simplifying
n = -1.235294118