4(a-8)=-38+2a

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Solution for 4(a-8)=-38+2a equation:


Simplifying
4(a + -8) = -38 + 2a

Reorder the terms:
4(-8 + a) = -38 + 2a
(-8 * 4 + a * 4) = -38 + 2a
(-32 + 4a) = -38 + 2a

Solving
-32 + 4a = -38 + 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.
-32 + 4a + -2a = -38 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-32 + 2a = -38 + 2a + -2a

Combine like terms: 2a + -2a = 0
-32 + 2a = -38 + 0
-32 + 2a = -38

Add '32' to each side of the equation.
-32 + 32 + 2a = -38 + 32

Combine like terms: -32 + 32 = 0
0 + 2a = -38 + 32
2a = -38 + 32

Combine like terms: -38 + 32 = -6
2a = -6

Divide each side by '2'.
a = -3

Simplifying
a = -3

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