-3(1+14a)+13a=-3(1+5n)

Solution for -3(1+14a)+13a=-3(1+5n) equation:

Simplifying
-3(1 + 14a) + 13a = -3(1 + 5n)
(1 * -3 + 14a * -3) + 13a = -3(1 + 5n)
(-3 + -42a) + 13a = -3(1 + 5n)

Combine like terms: -42a + 13a = -29a
-3 + -29a = -3(1 + 5n)
-3 + -29a = (1 * -3 + 5n * -3)
-3 + -29a = (-3 + -15n)

Add '3' to each side of the equation.
-3 + 3 + -29a = -3 + 3 + -15n

Combine like terms: -3 + 3 = 0
0 + -29a = -3 + 3 + -15n
-29a = -3 + 3 + -15n

Combine like terms: -3 + 3 = 0
-29a = 0 + -15n
-29a = -15n

Solving
-29a = -15n

Solving for variable 'a'.

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

Divide each side by '-29'.
a = 0.5172413793n

Simplifying
a = 0.5172413793n