6(1-3a)=7+7(-2a+5)

Solution for 6(1-3a)=7+7(-2a+5) equation:

Simplifying
6(1 + -3a) = 7 + 7(-2a + 5)
(1 * 6 + -3a * 6) = 7 + 7(-2a + 5)
(6 + -18a) = 7 + 7(-2a + 5)

Reorder the terms:
6 + -18a = 7 + 7(5 + -2a)
6 + -18a = 7 + (5 * 7 + -2a * 7)
6 + -18a = 7 + (35 + -14a)

Combine like terms: 7 + 35 = 42
6 + -18a = 42 + -14a

Solving
6 + -18a = 42 + -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.
6 + -18a + 14a = 42 + -14a + 14a

Combine like terms: -18a + 14a = -4a
6 + -4a = 42 + -14a + 14a

Combine like terms: -14a + 14a = 0
6 + -4a = 42 + 0
6 + -4a = 42

Add '-6' to each side of the equation.
6 + -6 + -4a = 42 + -6

Combine like terms: 6 + -6 = 0
0 + -4a = 42 + -6
-4a = 42 + -6

Combine like terms: 42 + -6 = 36
-4a = 36

Divide each side by '-4'.
a = -9

Simplifying
a = -9