3(1-10n)=-10(-1+7n)-7

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

Simplifying
3(1 + -10n) = -10(-1 + 7n) + -7
(1 * 3 + -10n * 3) = -10(-1 + 7n) + -7
(3 + -30n) = -10(-1 + 7n) + -7
3 + -30n = (-1 * -10 + 7n * -10) + -7
3 + -30n = (10 + -70n) + -7

Reorder the terms:
3 + -30n = 10 + -7 + -70n

Combine like terms: 10 + -7 = 3
3 + -30n = 3 + -70n

Add '-3' to each side of the equation.
3 + -3 + -30n = 3 + -3 + -70n

Combine like terms: 3 + -3 = 0
0 + -30n = 3 + -3 + -70n
-30n = 3 + -3 + -70n

Combine like terms: 3 + -3 = 0
-30n = 0 + -70n
-30n = -70n

Solving
-30n = -70n

Solving for variable 'n'.

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

Add '70n' to each side of the equation.
-30n + 70n = -70n + 70n

Combine like terms: -30n + 70n = 40n
40n = -70n + 70n

Combine like terms: -70n + 70n = 0
40n = 0

Divide each side by '40'.
n = 0

Simplifying
n = 0