2(a+5)+n=4a-8

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Solution for 2(a+5)+n=4a-8 equation: 


Simplifying
2(a + 5) + n = 4a + -8

Reorder the terms:
2(5 + a) + n = 4a + -8
(5 * 2 + a * 2) + n = 4a + -8
(10 + 2a) + n = 4a + -8

Reorder the terms:
10 + 2a + n = -8 + 4a

Solving
10 + 2a + n = -8 + 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.
10 + 2a + -4a + n = -8 + 4a + -4a

Combine like terms: 2a + -4a = -2a
10 + -2a + n = -8 + 4a + -4a

Combine like terms: 4a + -4a = 0
10 + -2a + n = -8 + 0
10 + -2a + n = -8

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

Reorder the terms:
10 + -10 + -2a + n = -8 + -10

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

Combine like terms: -8 + -10 = -18
-2a + n = -18

Add '-1n' to each side of the equation.
-2a + n + -1n = -18 + -1n

Combine like terms: n + -1n = 0
-2a + 0 = -18 + -1n
-2a = -18 + -1n

Divide each side by '-2'.
a = 9 + 0.5n

Simplifying
a = 9 + 0.5n

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