-2(5a-7)-4=-38-4a

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Solution for -2(5a-7)-4=-38-4a equation:


Simplifying
-2(5a + -7) + -4 = -38 + -4a

Reorder the terms:
-2(-7 + 5a) + -4 = -38 + -4a
(-7 * -2 + 5a * -2) + -4 = -38 + -4a
(14 + -10a) + -4 = -38 + -4a

Reorder the terms:
14 + -4 + -10a = -38 + -4a

Combine like terms: 14 + -4 = 10
10 + -10a = -38 + -4a

Solving
10 + -10a = -38 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
10 + -10a + 4a = -38 + -4a + 4a

Combine like terms: -10a + 4a = -6a
10 + -6a = -38 + -4a + 4a

Combine like terms: -4a + 4a = 0
10 + -6a = -38 + 0
10 + -6a = -38

Add '-10' to each side of the equation.
10 + -10 + -6a = -38 + -10

Combine like terms: 10 + -10 = 0
0 + -6a = -38 + -10
-6a = -38 + -10

Combine like terms: -38 + -10 = -48
-6a = -48

Divide each side by '-6'.
a = 8

Simplifying
a = 8

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