-38+6a=-3(6+7a)+7

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Solution for -38+6a=-3(6+7a)+7 equation: 


Simplifying
-38 + 6a = -3(6 + 7a) + 7
-38 + 6a = (6 * -3 + 7a * -3) + 7
-38 + 6a = (-18 + -21a) + 7

Reorder the terms:
-38 + 6a = -18 + 7 + -21a

Combine like terms: -18 + 7 = -11
-38 + 6a = -11 + -21a

Solving
-38 + 6a = -11 + -21a

Solving for variable 'a'.

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

Add '21a' to each side of the equation.
-38 + 6a + 21a = -11 + -21a + 21a

Combine like terms: 6a + 21a = 27a
-38 + 27a = -11 + -21a + 21a

Combine like terms: -21a + 21a = 0
-38 + 27a = -11 + 0
-38 + 27a = -11

Add '38' to each side of the equation.
-38 + 38 + 27a = -11 + 38

Combine like terms: -38 + 38 = 0
0 + 27a = -11 + 38
27a = -11 + 38

Combine like terms: -11 + 38 = 27
27a = 27

Divide each side by '27'.
a = 1

Simplifying
a = 1

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