2a+2(2a+2)+(2+4)=8a+8

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Solution for 2a+2(2a+2)+(2+4)=8a+8 equation:


Simplifying
2a + 2(2a + 2) + (2 + 4) = 8a + 8

Reorder the terms:
2a + 2(2 + 2a) + (2 + 4) = 8a + 8
2a + (2 * 2 + 2a * 2) + (2 + 4) = 8a + 8
2a + (4 + 4a) + (2 + 4) = 8a + 8

Combine like terms: 2 + 4 = 6
2a + 4 + 4a + (6) = 8a + 8
2a + 4 + 4a + 6 = 8a + 8

Reorder the terms:
4 + 6 + 2a + 4a = 8a + 8

Combine like terms: 4 + 6 = 10
10 + 2a + 4a = 8a + 8

Combine like terms: 2a + 4a = 6a
10 + 6a = 8a + 8

Reorder the terms:
10 + 6a = 8 + 8a

Solving
10 + 6a = 8 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
10 + 6a + -8a = 8 + 8a + -8a

Combine like terms: 6a + -8a = -2a
10 + -2a = 8 + 8a + -8a

Combine like terms: 8a + -8a = 0
10 + -2a = 8 + 0
10 + -2a = 8

Add '-10' to each side of the equation.
10 + -10 + -2a = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -2a = 8 + -10
-2a = 8 + -10

Combine like terms: 8 + -10 = -2
-2a = -2

Divide each side by '-2'.
a = 1

Simplifying
a = 1

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