-4a-38=-6(2a-7)-8a

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Solution for -4a-38=-6(2a-7)-8a equation:


Simplifying
-4a + -38 = -6(2a + -7) + -8a

Reorder the terms:
-38 + -4a = -6(2a + -7) + -8a

Reorder the terms:
-38 + -4a = -6(-7 + 2a) + -8a
-38 + -4a = (-7 * -6 + 2a * -6) + -8a
-38 + -4a = (42 + -12a) + -8a

Combine like terms: -12a + -8a = -20a
-38 + -4a = 42 + -20a

Solving
-38 + -4a = 42 + -20a

Solving for variable 'a'.

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

Add '20a' to each side of the equation.
-38 + -4a + 20a = 42 + -20a + 20a

Combine like terms: -4a + 20a = 16a
-38 + 16a = 42 + -20a + 20a

Combine like terms: -20a + 20a = 0
-38 + 16a = 42 + 0
-38 + 16a = 42

Add '38' to each side of the equation.
-38 + 38 + 16a = 42 + 38

Combine like terms: -38 + 38 = 0
0 + 16a = 42 + 38
16a = 42 + 38

Combine like terms: 42 + 38 = 80
16a = 80

Divide each side by '16'.
a = 5

Simplifying
a = 5

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