-(1-7a)=2(3+7a)

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

Simplifying
-1(1 + -7a) = 2(3 + 7a)
(1 * -1 + -7a * -1) = 2(3 + 7a)
(-1 + 7a) = 2(3 + 7a)
-1 + 7a = (3 * 2 + 7a * 2)
-1 + 7a = (6 + 14a)

Solving
-1 + 7a = 6 + 14a

Solving for variable 'a'.

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

Add '-14a' to each side of the equation.
-1 + 7a + -14a = 6 + 14a + -14a

Combine like terms: 7a + -14a = -7a
-1 + -7a = 6 + 14a + -14a

Combine like terms: 14a + -14a = 0
-1 + -7a = 6 + 0
-1 + -7a = 6

Add '1' to each side of the equation.
-1 + 1 + -7a = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -7a = 6 + 1
-7a = 6 + 1

Combine like terms: 6 + 1 = 7
-7a = 7

Divide each side by '-7'.
a = -1

Simplifying
a = -1