-8(a+10)=-(a+9)-8

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Solution for -8(a+10)=-(a+9)-8 equation:


Simplifying
-8(a + 10) = -1(a + 9) + -8

Reorder the terms:
-8(10 + a) = -1(a + 9) + -8
(10 * -8 + a * -8) = -1(a + 9) + -8
(-80 + -8a) = -1(a + 9) + -8

Reorder the terms:
-80 + -8a = -1(9 + a) + -8
-80 + -8a = (9 * -1 + a * -1) + -8
-80 + -8a = (-9 + -1a) + -8

Reorder the terms:
-80 + -8a = -9 + -8 + -1a

Combine like terms: -9 + -8 = -17
-80 + -8a = -17 + -1a

Solving
-80 + -8a = -17 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-80 + -8a + a = -17 + -1a + a

Combine like terms: -8a + a = -7a
-80 + -7a = -17 + -1a + a

Combine like terms: -1a + a = 0
-80 + -7a = -17 + 0
-80 + -7a = -17

Add '80' to each side of the equation.
-80 + 80 + -7a = -17 + 80

Combine like terms: -80 + 80 = 0
0 + -7a = -17 + 80
-7a = -17 + 80

Combine like terms: -17 + 80 = 63
-7a = 63

Divide each side by '-7'.
a = -9

Simplifying
a = -9

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