-7(6+3n)=2(1-5n)

Solution for -7(6+3n)=2(1-5n) equation:

Simplifying
-7(6 + 3n) = 2(1 + -5n)
(6 * -7 + 3n * -7) = 2(1 + -5n)
(-42 + -21n) = 2(1 + -5n)
-42 + -21n = (1 * 2 + -5n * 2)
-42 + -21n = (2 + -10n)

Solving
-42 + -21n = 2 + -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 + -21n + 10n = 2 + -10n + 10n

Combine like terms: -21n + 10n = -11n
-42 + -11n = 2 + -10n + 10n

Combine like terms: -10n + 10n = 0
-42 + -11n = 2 + 0
-42 + -11n = 2

Add '42' to each side of the equation.
-42 + 42 + -11n = 2 + 42

Combine like terms: -42 + 42 = 0
0 + -11n = 2 + 42
-11n = 2 + 42

Combine like terms: 2 + 42 = 44
-11n = 44

Divide each side by '-11'.
n = -4

Simplifying
n = -4