6-7(a+1)=-3(2-9)

Solution for 6-7(a+1)=-3(2-9) equation:

Simplifying
6 + -7(a + 1) = -3(2 + -9)

Reorder the terms:
6 + -7(1 + a) = -3(2 + -9)
6 + (1 * -7 + a * -7) = -3(2 + -9)
6 + (-7 + -7a) = -3(2 + -9)

Combine like terms: 6 + -7 = -1
-1 + -7a = -3(2 + -9)

Combine like terms: 2 + -9 = -7
-1 + -7a = -3(-7)

Multiply -3 * -7
-1 + -7a = 21

Solving
-1 + -7a = 21

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + -7a = 21 + 1

Combine like terms: -1 + 1 = 0
0 + -7a = 21 + 1
-7a = 21 + 1

Combine like terms: 21 + 1 = 22
-7a = 22

Divide each side by '-7'.
a = -3.142857143

Simplifying
a = -3.142857143