8-7(a+1)=9+a

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Solution for 8-7(a+1)=9+a equation:


Simplifying
8 + -7(a + 1) = 9 + a

Reorder the terms:
8 + -7(1 + a) = 9 + a
8 + (1 * -7 + a * -7) = 9 + a
8 + (-7 + -7a) = 9 + a

Combine like terms: 8 + -7 = 1
1 + -7a = 9 + a

Solving
1 + -7a = 9 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
1 + -7a + -1a = 9 + a + -1a

Combine like terms: -7a + -1a = -8a
1 + -8a = 9 + a + -1a

Combine like terms: a + -1a = 0
1 + -8a = 9 + 0
1 + -8a = 9

Add '-1' to each side of the equation.
1 + -1 + -8a = 9 + -1

Combine like terms: 1 + -1 = 0
0 + -8a = 9 + -1
-8a = 9 + -1

Combine like terms: 9 + -1 = 8
-8a = 8

Divide each side by '-8'.
a = -1

Simplifying
a = -1

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