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

Combine like terms: -3a + 3a = 0
-1 + -4a = -6 + 0
-1 + -4a = -6

Add '1' to each side of the equation.
-1 + 1 + -4a = -6 + 1

Combine like terms: -1 + 1 = 0
0 + -4a = -6 + 1
-4a = -6 + 1

Combine like terms: -6 + 1 = -5
-4a = -5

Divide each side by '-4'.
a = 1.25

Simplifying
a = 1.25