2(a+4)=4a+1

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


Simplifying
2(a + 4) = 4a + 1

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

Reorder the terms:
8 + 2a = 1 + 4a

Solving
8 + 2a = 1 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
8 + 2a + -4a = 1 + 4a + -4a

Combine like terms: 2a + -4a = -2a
8 + -2a = 1 + 4a + -4a

Combine like terms: 4a + -4a = 0
8 + -2a = 1 + 0
8 + -2a = 1

Add '-8' to each side of the equation.
8 + -8 + -2a = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -2a = 1 + -8
-2a = 1 + -8

Combine like terms: 1 + -8 = -7
-2a = -7

Divide each side by '-2'.
a = 3.5

Simplifying
a = 3.5

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