7(-8a+6)=6+10(-4-6a)

Solution for 7(-8a+6)=6+10(-4-6a) equation:

Simplifying
7(-8a + 6) = 6 + 10(-4 + -6a)

Reorder the terms:
7(6 + -8a) = 6 + 10(-4 + -6a)
(6 * 7 + -8a * 7) = 6 + 10(-4 + -6a)
(42 + -56a) = 6 + 10(-4 + -6a)
42 + -56a = 6 + (-4 * 10 + -6a * 10)
42 + -56a = 6 + (-40 + -60a)

Combine like terms: 6 + -40 = -34
42 + -56a = -34 + -60a

Solving
42 + -56a = -34 + -60a

Solving for variable 'a'.

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

Add '60a' to each side of the equation.
42 + -56a + 60a = -34 + -60a + 60a

Combine like terms: -56a + 60a = 4a
42 + 4a = -34 + -60a + 60a

Combine like terms: -60a + 60a = 0
42 + 4a = -34 + 0
42 + 4a = -34

Add '-42' to each side of the equation.
42 + -42 + 4a = -34 + -42

Combine like terms: 42 + -42 = 0
0 + 4a = -34 + -42
4a = -34 + -42

Combine like terms: -34 + -42 = -76
4a = -76

Divide each side by '4'.
a = -19

Simplifying
a = -19