-5(-2+a)=8(-a-9)

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Solution for -5(-2+a)=8(-a-9) equation:


Simplifying
-5(-2 + a) = 8(-1a + -9)
(-2 * -5 + a * -5) = 8(-1a + -9)
(10 + -5a) = 8(-1a + -9)

Reorder the terms:
10 + -5a = 8(-9 + -1a)
10 + -5a = (-9 * 8 + -1a * 8)
10 + -5a = (-72 + -8a)

Solving
10 + -5a = -72 + -8a

Solving for variable 'a'.

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

Add '8a' to each side of the equation.
10 + -5a + 8a = -72 + -8a + 8a

Combine like terms: -5a + 8a = 3a
10 + 3a = -72 + -8a + 8a

Combine like terms: -8a + 8a = 0
10 + 3a = -72 + 0
10 + 3a = -72

Add '-10' to each side of the equation.
10 + -10 + 3a = -72 + -10

Combine like terms: 10 + -10 = 0
0 + 3a = -72 + -10
3a = -72 + -10

Combine like terms: -72 + -10 = -82
3a = -82

Divide each side by '3'.
a = -27.33333333

Simplifying
a = -27.33333333

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