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

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

Simplifying
3(1 + 5n) = -7n + -3(2n + -1)
(1 * 3 + 5n * 3) = -7n + -3(2n + -1)
(3 + 15n) = -7n + -3(2n + -1)

Reorder the terms:
3 + 15n = -7n + -3(-1 + 2n)
3 + 15n = -7n + (-1 * -3 + 2n * -3)
3 + 15n = -7n + (3 + -6n)

Reorder the terms:
3 + 15n = 3 + -7n + -6n

Combine like terms: -7n + -6n = -13n
3 + 15n = 3 + -13n

Add '-3' to each side of the equation.
3 + -3 + 15n = 3 + -3 + -13n

Combine like terms: 3 + -3 = 0
0 + 15n = 3 + -3 + -13n
15n = 3 + -3 + -13n

Combine like terms: 3 + -3 = 0
15n = 0 + -13n
15n = -13n

Solving
15n = -13n

Solving for variable 'n'.

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

Add '13n' to each side of the equation.
15n + 13n = -13n + 13n

Combine like terms: 15n + 13n = 28n
28n = -13n + 13n

Combine like terms: -13n + 13n = 0
28n = 0

Divide each side by '28'.
n = 0

Simplifying
n = 0