5a-4(a-9)=2+2a

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Solution for 5a-4(a-9)=2+2a equation:


Simplifying
5a + -4(a + -9) = 2 + 2a

Reorder the terms:
5a + -4(-9 + a) = 2 + 2a
5a + (-9 * -4 + a * -4) = 2 + 2a
5a + (36 + -4a) = 2 + 2a

Reorder the terms:
36 + 5a + -4a = 2 + 2a

Combine like terms: 5a + -4a = 1a
36 + 1a = 2 + 2a

Solving
36 + 1a = 2 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
36 + 1a + -2a = 2 + 2a + -2a

Combine like terms: 1a + -2a = -1a
36 + -1a = 2 + 2a + -2a

Combine like terms: 2a + -2a = 0
36 + -1a = 2 + 0
36 + -1a = 2

Add '-36' to each side of the equation.
36 + -36 + -1a = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -1a = 2 + -36
-1a = 2 + -36

Combine like terms: 2 + -36 = -34
-1a = -34

Divide each side by '-1'.
a = 34

Simplifying
a = 34

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