6(14a-115a)=a-1(6+3a)

Solution for 6(14a-115a)=a-1(6+3a) equation:

Simplifying
6(14a + -115a) = a + -1(6 + 3a)

Combine like terms: 14a + -115a = -101a
6(-101a) = a + -1(6 + 3a)

Remove parenthesis around (-101a)
6 * -101a = a + -1(6 + 3a)

Multiply 6 * -101
-606a = a + -1(6 + 3a)
-606a = a + (6 * -1 + 3a * -1)
-606a = a + (-6 + -3a)

Reorder the terms:
-606a = -6 + a + -3a

Combine like terms: a + -3a = -2a
-606a = -6 + -2a

Solving
-606a = -6 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-606a + 2a = -6 + -2a + 2a

Combine like terms: -606a + 2a = -604a
-604a = -6 + -2a + 2a

Combine like terms: -2a + 2a = 0
-604a = -6 + 0
-604a = -6

Divide each side by '-604'.
a = 0.009933774834

Simplifying
a = 0.009933774834