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

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


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

Reorder the terms:
29 + 5n = 8n + 8(5 + n)
29 + 5n = 8n + (5 * 8 + n * 8)
29 + 5n = 8n + (40 + 8n)

Reorder the terms:
29 + 5n = 40 + 8n + 8n

Combine like terms: 8n + 8n = 16n
29 + 5n = 40 + 16n

Solving
29 + 5n = 40 + 16n

Solving for variable 'n'.

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

Add '-16n' to each side of the equation.
29 + 5n + -16n = 40 + 16n + -16n

Combine like terms: 5n + -16n = -11n
29 + -11n = 40 + 16n + -16n

Combine like terms: 16n + -16n = 0
29 + -11n = 40 + 0
29 + -11n = 40

Add '-29' to each side of the equation.
29 + -29 + -11n = 40 + -29

Combine like terms: 29 + -29 = 0
0 + -11n = 40 + -29
-11n = 40 + -29

Combine like terms: 40 + -29 = 11
-11n = 11

Divide each side by '-11'.
n = -1

Simplifying
n = -1

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