4(a+3)=-3(a-1)+31

Solution for 4(a+3)=-3(a-1)+31 equation:

Simplifying
4(a + 3) = -3(a + -1) + 31

Reorder the terms:
4(3 + a) = -3(a + -1) + 31
(3 * 4 + a * 4) = -3(a + -1) + 31
(12 + 4a) = -3(a + -1) + 31

Reorder the terms:
12 + 4a = -3(-1 + a) + 31
12 + 4a = (-1 * -3 + a * -3) + 31
12 + 4a = (3 + -3a) + 31

Reorder the terms:
12 + 4a = 3 + 31 + -3a

Combine like terms: 3 + 31 = 34
12 + 4a = 34 + -3a

Solving
12 + 4a = 34 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
12 + 4a + 3a = 34 + -3a + 3a

Combine like terms: 4a + 3a = 7a
12 + 7a = 34 + -3a + 3a

Combine like terms: -3a + 3a = 0
12 + 7a = 34 + 0
12 + 7a = 34

Add '-12' to each side of the equation.
12 + -12 + 7a = 34 + -12

Combine like terms: 12 + -12 = 0
0 + 7a = 34 + -12
7a = 34 + -12

Combine like terms: 34 + -12 = 22
7a = 22

Divide each side by '7'.
a = 3.142857143

Simplifying
a = 3.142857143