2(-7n+3)=-4(6+8n)

Solution for 2(-7n+3)=-4(6+8n) equation:

Simplifying
2(-7n + 3) = -4(6 + 8n)

Reorder the terms:
2(3 + -7n) = -4(6 + 8n)
(3 * 2 + -7n * 2) = -4(6 + 8n)
(6 + -14n) = -4(6 + 8n)
6 + -14n = (6 * -4 + 8n * -4)
6 + -14n = (-24 + -32n)

Solving
6 + -14n = -24 + -32n

Solving for variable 'n'.

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

Add '32n' to each side of the equation.
6 + -14n + 32n = -24 + -32n + 32n

Combine like terms: -14n + 32n = 18n
6 + 18n = -24 + -32n + 32n

Combine like terms: -32n + 32n = 0
6 + 18n = -24 + 0
6 + 18n = -24

Add '-6' to each side of the equation.
6 + -6 + 18n = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 18n = -24 + -6
18n = -24 + -6

Combine like terms: -24 + -6 = -30
18n = -30

Divide each side by '18'.
n = -1.666666667

Simplifying
n = -1.666666667