4(a+6)=-3a+6+3(a-11)

Solution for 4(a+6)=-3a+6+3(a-11) equation:

Simplifying
4(a + 6) = -3a + 6 + 3(a + -11)

Reorder the terms:
4(6 + a) = -3a + 6 + 3(a + -11)
(6 * 4 + a * 4) = -3a + 6 + 3(a + -11)
(24 + 4a) = -3a + 6 + 3(a + -11)

Reorder the terms:
24 + 4a = -3a + 6 + 3(-11 + a)
24 + 4a = -3a + 6 + (-11 * 3 + a * 3)
24 + 4a = -3a + 6 + (-33 + 3a)

Reorder the terms:
24 + 4a = 6 + -33 + -3a + 3a

Combine like terms: 6 + -33 = -27
24 + 4a = -27 + -3a + 3a

Combine like terms: -3a + 3a = 0
24 + 4a = -27 + 0
24 + 4a = -27

Solving
24 + 4a = -27

Solving for variable 'a'.

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

Add '-24' to each side of the equation.
24 + -24 + 4a = -27 + -24

Combine like terms: 24 + -24 = 0
0 + 4a = -27 + -24
4a = -27 + -24

Combine like terms: -27 + -24 = -51
4a = -51

Divide each side by '4'.
a = -12.75

Simplifying
a = -12.75