10n-2(3+7n)=-1(4+6n)

Solution for 10n-2(3+7n)=-1(4+6n) equation:

Simplifying
10n + -2(3 + 7n) = -1(4 + 6n)
10n + (3 * -2 + 7n * -2) = -1(4 + 6n)
10n + (-6 + -14n) = -1(4 + 6n)

Reorder the terms:
-6 + 10n + -14n = -1(4 + 6n)

Combine like terms: 10n + -14n = -4n
-6 + -4n = -1(4 + 6n)
-6 + -4n = (4 * -1 + 6n * -1)
-6 + -4n = (-4 + -6n)

Solving
-6 + -4n = -4 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-6 + -4n + 6n = -4 + -6n + 6n

Combine like terms: -4n + 6n = 2n
-6 + 2n = -4 + -6n + 6n

Combine like terms: -6n + 6n = 0
-6 + 2n = -4 + 0
-6 + 2n = -4

Add '6' to each side of the equation.
-6 + 6 + 2n = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 2n = -4 + 6
2n = -4 + 6

Combine like terms: -4 + 6 = 2
2n = 2

Divide each side by '2'.
n = 1

Simplifying
n = 1