4(5n-6)-7=5n+29

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Solution for 4(5n-6)-7=5n+29 equation: 


Simplifying
4(5n + -6) + -7 = 5n + 29

Reorder the terms:
4(-6 + 5n) + -7 = 5n + 29
(-6 * 4 + 5n * 4) + -7 = 5n + 29
(-24 + 20n) + -7 = 5n + 29

Reorder the terms:
-24 + -7 + 20n = 5n + 29

Combine like terms: -24 + -7 = -31
-31 + 20n = 5n + 29

Reorder the terms:
-31 + 20n = 29 + 5n

Solving
-31 + 20n = 29 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-31 + 20n + -5n = 29 + 5n + -5n

Combine like terms: 20n + -5n = 15n
-31 + 15n = 29 + 5n + -5n

Combine like terms: 5n + -5n = 0
-31 + 15n = 29 + 0
-31 + 15n = 29

Add '31' to each side of the equation.
-31 + 31 + 15n = 29 + 31

Combine like terms: -31 + 31 = 0
0 + 15n = 29 + 31
15n = 29 + 31

Combine like terms: 29 + 31 = 60
15n = 60

Divide each side by '15'.
n = 4

Simplifying
n = 4

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