3n+29=4(n+8)

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Solution for 3n+29=4(n+8) equation:


Simplifying
3n + 29 = 4(n + 8)

Reorder the terms:
29 + 3n = 4(n + 8)

Reorder the terms:
29 + 3n = 4(8 + n)
29 + 3n = (8 * 4 + n * 4)
29 + 3n = (32 + 4n)

Solving
29 + 3n = 32 + 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 + 3n + -4n = 32 + 4n + -4n

Combine like terms: 3n + -4n = -1n
29 + -1n = 32 + 4n + -4n

Combine like terms: 4n + -4n = 0
29 + -1n = 32 + 0
29 + -1n = 32

Add '-29' to each side of the equation.
29 + -29 + -1n = 32 + -29

Combine like terms: 29 + -29 = 0
0 + -1n = 32 + -29
-1n = 32 + -29

Combine like terms: 32 + -29 = 3
-1n = 3

Divide each side by '-1'.
n = -3

Simplifying
n = -3

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