-3(1+14a)+13a=3(1-12a)

Solution for -3(1+14a)+13a=3(1-12a) equation:

Simplifying
-3(1 + 14a) + 13a = 3(1 + -12a)
(1 * -3 + 14a * -3) + 13a = 3(1 + -12a)
(-3 + -42a) + 13a = 3(1 + -12a)

Combine like terms: -42a + 13a = -29a
-3 + -29a = 3(1 + -12a)
-3 + -29a = (1 * 3 + -12a * 3)
-3 + -29a = (3 + -36a)

Solving
-3 + -29a = 3 + -36a

Solving for variable 'a'.

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

Add '36a' to each side of the equation.
-3 + -29a + 36a = 3 + -36a + 36a

Combine like terms: -29a + 36a = 7a
-3 + 7a = 3 + -36a + 36a

Combine like terms: -36a + 36a = 0
-3 + 7a = 3 + 0
-3 + 7a = 3

Add '3' to each side of the equation.
-3 + 3 + 7a = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 7a = 3 + 3
7a = 3 + 3

Combine like terms: 3 + 3 = 6
7a = 6

Divide each side by '7'.
a = 0.8571428571

Simplifying
a = 0.8571428571