5n-29=2(2n+8)-8n

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Solution for 5n-29=2(2n+8)-8n equation:


Simplifying
5n + -29 = 2(2n + 8) + -8n

Reorder the terms:
-29 + 5n = 2(2n + 8) + -8n

Reorder the terms:
-29 + 5n = 2(8 + 2n) + -8n
-29 + 5n = (8 * 2 + 2n * 2) + -8n
-29 + 5n = (16 + 4n) + -8n

Combine like terms: 4n + -8n = -4n
-29 + 5n = 16 + -4n

Solving
-29 + 5n = 16 + -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
-29 + 5n + 4n = 16 + -4n + 4n

Combine like terms: 5n + 4n = 9n
-29 + 9n = 16 + -4n + 4n

Combine like terms: -4n + 4n = 0
-29 + 9n = 16 + 0
-29 + 9n = 16

Add '29' to each side of the equation.
-29 + 29 + 9n = 16 + 29

Combine like terms: -29 + 29 = 0
0 + 9n = 16 + 29
9n = 16 + 29

Combine like terms: 16 + 29 = 45
9n = 45

Divide each side by '9'.
n = 5

Simplifying
n = 5

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