2(1a-7b)=2(4a-9b)

Solution for 2(1a-7b)=2(4a-9b) equation:

Simplifying
2(1a + -7b) = 2(4a + -9b)
(1a * 2 + -7b * 2) = 2(4a + -9b)
(2a + -14b) = 2(4a + -9b)
2a + -14b = (4a * 2 + -9b * 2)
2a + -14b = (8a + -18b)

Solving
2a + -14b = 8a + -18b

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
2a + -8a + -14b = 8a + -8a + -18b

Combine like terms: 2a + -8a = -6a
-6a + -14b = 8a + -8a + -18b

Combine like terms: 8a + -8a = 0
-6a + -14b = 0 + -18b
-6a + -14b = -18b

Add '14b' to each side of the equation.
-6a + -14b + 14b = -18b + 14b

Combine like terms: -14b + 14b = 0
-6a + 0 = -18b + 14b
-6a = -18b + 14b

Combine like terms: -18b + 14b = -4b
-6a = -4b

Divide each side by '-6'.
a = 0.6666666667b

Simplifying
a = 0.6666666667b