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

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


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

Reorder the terms:
38 + 5a = -8(8 + -7a)
38 + 5a = (8 * -8 + -7a * -8)
38 + 5a = (-64 + 56a)

Solving
38 + 5a = -64 + 56a

Solving for variable 'a'.

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

Add '-56a' to each side of the equation.
38 + 5a + -56a = -64 + 56a + -56a

Combine like terms: 5a + -56a = -51a
38 + -51a = -64 + 56a + -56a

Combine like terms: 56a + -56a = 0
38 + -51a = -64 + 0
38 + -51a = -64

Add '-38' to each side of the equation.
38 + -38 + -51a = -64 + -38

Combine like terms: 38 + -38 = 0
0 + -51a = -64 + -38
-51a = -64 + -38

Combine like terms: -64 + -38 = -102
-51a = -102

Divide each side by '-51'.
a = 2

Simplifying
a = 2

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