6-7(a+1)=3(2+a)

Solution for 6-7(a+1)=3(2+a) equation:

Simplifying
6 + -7(a + 1) = 3(2 + a)

Reorder the terms:
6 + -7(1 + a) = 3(2 + a)
6 + (1 * -7 + a * -7) = 3(2 + a)
6 + (-7 + -7a) = 3(2 + a)

Combine like terms: 6 + -7 = -1
-1 + -7a = 3(2 + a)
-1 + -7a = (2 * 3 + a * 3)
-1 + -7a = (6 + 3a)

Solving
-1 + -7a = 6 + 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.
-1 + -7a + -3a = 6 + 3a + -3a

Combine like terms: -7a + -3a = -10a
-1 + -10a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-1 + -10a = 6 + 0
-1 + -10a = 6

Add '1' to each side of the equation.
-1 + 1 + -10a = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -10a = 6 + 1
-10a = 6 + 1

Combine like terms: 6 + 1 = 7
-10a = 7

Divide each side by '-10'.
a = -0.7

Simplifying
a = -0.7