-6(2n-7)+2(n-4)=-37

Solution for -6(2n-7)+2(n-4)=-37 equation:

Simplifying
-6(2n + -7) + 2(n + -4) = -37

Reorder the terms:
-6(-7 + 2n) + 2(n + -4) = -37
(-7 * -6 + 2n * -6) + 2(n + -4) = -37
(42 + -12n) + 2(n + -4) = -37

Reorder the terms:
42 + -12n + 2(-4 + n) = -37
42 + -12n + (-4 * 2 + n * 2) = -37
42 + -12n + (-8 + 2n) = -37

Reorder the terms:
42 + -8 + -12n + 2n = -37

Combine like terms: 42 + -8 = 34
34 + -12n + 2n = -37

Combine like terms: -12n + 2n = -10n
34 + -10n = -37

Solving
34 + -10n = -37

Solving for variable 'n'.

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

Add '-34' to each side of the equation.
34 + -34 + -10n = -37 + -34

Combine like terms: 34 + -34 = 0
0 + -10n = -37 + -34
-10n = -37 + -34

Combine like terms: -37 + -34 = -71
-10n = -71

Divide each side by '-10'.
n = 7.1

Simplifying
n = 7.1