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

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


Simplifying
4(4 + -1a) + -2(a + -4) = -10 + -2a
(4 * 4 + -1a * 4) + -2(a + -4) = -10 + -2a
(16 + -4a) + -2(a + -4) = -10 + -2a

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

Reorder the terms:
16 + 8 + -4a + -2a = -10 + -2a

Combine like terms: 16 + 8 = 24
24 + -4a + -2a = -10 + -2a

Combine like terms: -4a + -2a = -6a
24 + -6a = -10 + -2a

Solving
24 + -6a = -10 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
24 + -6a + 2a = -10 + -2a + 2a

Combine like terms: -6a + 2a = -4a
24 + -4a = -10 + -2a + 2a

Combine like terms: -2a + 2a = 0
24 + -4a = -10 + 0
24 + -4a = -10

Add '-24' to each side of the equation.
24 + -24 + -4a = -10 + -24

Combine like terms: 24 + -24 = 0
0 + -4a = -10 + -24
-4a = -10 + -24

Combine like terms: -10 + -24 = -34
-4a = -34

Divide each side by '-4'.
a = 8.5

Simplifying
a = 8.5

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