7a+(-12a)+5(7-a)=3(6+2)

Solution for 7a+(-12a)+5(7-a)=3(6+2) equation:

Simplifying
7a + (-12a) + 5(7 + -1a) = 3(6 + 2)
7a + (-12a) + (7 * 5 + -1a * 5) = 3(6 + 2)
7a + (-12a) + (35 + -5a) = 3(6 + 2)

Reorder the terms:
35 + 7a + (-12a) + -5a = 3(6 + 2)

Combine like terms: 7a + (-12a) = -5a
35 + -5a + -5a = 3(6 + 2)

Combine like terms: -5a + -5a = -10a
35 + -10a = 3(6 + 2)

Combine like terms: 6 + 2 = 8
35 + -10a = 3(8)

Multiply 3 * 8
35 + -10a = 24

Solving
35 + -10a = 24

Solving for variable 'a'.

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

Add '-35' to each side of the equation.
35 + -35 + -10a = 24 + -35

Combine like terms: 35 + -35 = 0
0 + -10a = 24 + -35
-10a = 24 + -35

Combine like terms: 24 + -35 = -11
-10a = -11

Divide each side by '-10'.
a = 1.1

Simplifying
a = 1.1