8a-38=-6(-5-7a)

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Solution for 8a-38=-6(-5-7a) equation:


Simplifying
8a + -38 = -6(-5 + -7a)

Reorder the terms:
-38 + 8a = -6(-5 + -7a)
-38 + 8a = (-5 * -6 + -7a * -6)
-38 + 8a = (30 + 42a)

Solving
-38 + 8a = 30 + 42a

Solving for variable 'a'.

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

Add '-42a' to each side of the equation.
-38 + 8a + -42a = 30 + 42a + -42a

Combine like terms: 8a + -42a = -34a
-38 + -34a = 30 + 42a + -42a

Combine like terms: 42a + -42a = 0
-38 + -34a = 30 + 0
-38 + -34a = 30

Add '38' to each side of the equation.
-38 + 38 + -34a = 30 + 38

Combine like terms: -38 + 38 = 0
0 + -34a = 30 + 38
-34a = 30 + 38

Combine like terms: 30 + 38 = 68
-34a = 68

Divide each side by '-34'.
a = -2

Simplifying
a = -2

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