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

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


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

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

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

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

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

Combine like terms: -10a + -2a = -12a
24 + -6a = -12a

Solving
24 + -6a = -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
24 + -6a + 12a = -12a + 12a

Combine like terms: -6a + 12a = 6a
24 + 6a = -12a + 12a

Combine like terms: -12a + 12a = 0
24 + 6a = 0

Add '-24' to each side of the equation.
24 + -24 + 6a = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 6a = 0 + -24
6a = 0 + -24

Combine like terms: 0 + -24 = -24
6a = -24

Divide each side by '6'.
a = -4

Simplifying
a = -4

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