8(a-2)=-1+(5a-8)

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Solution for 8(a-2)=-1+(5a-8) equation:


Simplifying
8(a + -2) = -1 + (5a + -8)

Reorder the terms:
8(-2 + a) = -1 + (5a + -8)
(-2 * 8 + a * 8) = -1 + (5a + -8)
(-16 + 8a) = -1 + (5a + -8)

Reorder the terms:
-16 + 8a = -1 + (-8 + 5a)

Remove parenthesis around (-8 + 5a)
-16 + 8a = -1 + -8 + 5a

Combine like terms: -1 + -8 = -9
-16 + 8a = -9 + 5a

Solving
-16 + 8a = -9 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
-16 + 8a + -5a = -9 + 5a + -5a

Combine like terms: 8a + -5a = 3a
-16 + 3a = -9 + 5a + -5a

Combine like terms: 5a + -5a = 0
-16 + 3a = -9 + 0
-16 + 3a = -9

Add '16' to each side of the equation.
-16 + 16 + 3a = -9 + 16

Combine like terms: -16 + 16 = 0
0 + 3a = -9 + 16
3a = -9 + 16

Combine like terms: -9 + 16 = 7
3a = 7

Divide each side by '3'.
a = 2.333333333

Simplifying
a = 2.333333333

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