4(a+1)=3(a-6)

Solution for 4(a+1)=3(a-6) equation:

Simplifying
4(a + 1) = 3(a + -6)

Reorder the terms:
4(1 + a) = 3(a + -6)
(1 * 4 + a * 4) = 3(a + -6)
(4 + 4a) = 3(a + -6)

Reorder the terms:
4 + 4a = 3(-6 + a)
4 + 4a = (-6 * 3 + a * 3)
4 + 4a = (-18 + 3a)

Solving
4 + 4a = -18 + 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.
4 + 4a + -3a = -18 + 3a + -3a

Combine like terms: 4a + -3a = 1a
4 + 1a = -18 + 3a + -3a

Combine like terms: 3a + -3a = 0
4 + 1a = -18 + 0
4 + 1a = -18

Add '-4' to each side of the equation.
4 + -4 + 1a = -18 + -4

Combine like terms: 4 + -4 = 0
0 + 1a = -18 + -4
1a = -18 + -4

Combine like terms: -18 + -4 = -22
1a = -22

Divide each side by '1'.
a = -22

Simplifying
a = -22