4a-4=3(a+1)+8a+2

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Solution for 4a-4=3(a+1)+8a+2 equation:


Simplifying
4a + -4 = 3(a + 1) + 8a + 2

Reorder the terms:
-4 + 4a = 3(a + 1) + 8a + 2

Reorder the terms:
-4 + 4a = 3(1 + a) + 8a + 2
-4 + 4a = (1 * 3 + a * 3) + 8a + 2
-4 + 4a = (3 + 3a) + 8a + 2

Reorder the terms:
-4 + 4a = 3 + 2 + 3a + 8a

Combine like terms: 3 + 2 = 5
-4 + 4a = 5 + 3a + 8a

Combine like terms: 3a + 8a = 11a
-4 + 4a = 5 + 11a

Solving
-4 + 4a = 5 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
-4 + 4a + -11a = 5 + 11a + -11a

Combine like terms: 4a + -11a = -7a
-4 + -7a = 5 + 11a + -11a

Combine like terms: 11a + -11a = 0
-4 + -7a = 5 + 0
-4 + -7a = 5

Add '4' to each side of the equation.
-4 + 4 + -7a = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -7a = 5 + 4
-7a = 5 + 4

Combine like terms: 5 + 4 = 9
-7a = 9

Divide each side by '-7'.
a = -1.285714286

Simplifying
a = -1.285714286

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