4a+(-9a)-(-20a)+(-13a)-(-16)=8

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Solution for 4a+(-9a)-(-20a)+(-13a)-(-16)=8 equation: 


Simplifying
4a + (-9a) + -1(-20a) + (-13a) + -1(-16) = 8

Remove parenthesis around (-20a)
4a + (-9a) + -1 * -20a + (-13a) + -1(-16) = 8

Multiply -1 * -20
4a + (-9a) + 20a + (-13a) + -1(-16) = 8

Multiply -1 * -16
4a + (-9a) + 20a + (-13a) + 16 = 8

Reorder the terms:
16 + 4a + (-9a) + 20a + (-13a) = 8

Combine like terms: 4a + (-9a) = -5a
16 + -5a + 20a + (-13a) = 8

Combine like terms: -5a + 20a = 15a
16 + 15a + (-13a) = 8

Combine like terms: 15a + (-13a) = 2a
16 + 2a = 8

Solving
16 + 2a = 8

Solving for variable 'a'.

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

Add '-16' to each side of the equation.
16 + -16 + 2a = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 2a = 8 + -16
2a = 8 + -16

Combine like terms: 8 + -16 = -8
2a = -8

Divide each side by '2'.
a = -4

Simplifying
a = -4

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