4(-a-10)=2(8-9a)

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Solution for 4(-a-10)=2(8-9a) equation:


Simplifying
4(-1a + -10) = 2(8 + -9a)

Reorder the terms:
4(-10 + -1a) = 2(8 + -9a)
(-10 * 4 + -1a * 4) = 2(8 + -9a)
(-40 + -4a) = 2(8 + -9a)
-40 + -4a = (8 * 2 + -9a * 2)
-40 + -4a = (16 + -18a)

Solving
-40 + -4a = 16 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
-40 + -4a + 18a = 16 + -18a + 18a

Combine like terms: -4a + 18a = 14a
-40 + 14a = 16 + -18a + 18a

Combine like terms: -18a + 18a = 0
-40 + 14a = 16 + 0
-40 + 14a = 16

Add '40' to each side of the equation.
-40 + 40 + 14a = 16 + 40

Combine like terms: -40 + 40 = 0
0 + 14a = 16 + 40
14a = 16 + 40

Combine like terms: 16 + 40 = 56
14a = 56

Divide each side by '14'.
a = 4

Simplifying
a = 4

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