4(n+5)=7n+2

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Solution for 4(n+5)=7n+2 equation: 


Simplifying
4(n + 5) = 7n + 2

Reorder the terms:
4(5 + n) = 7n + 2
(5 * 4 + n * 4) = 7n + 2
(20 + 4n) = 7n + 2

Reorder the terms:
20 + 4n = 2 + 7n

Solving
20 + 4n = 2 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
20 + 4n + -7n = 2 + 7n + -7n

Combine like terms: 4n + -7n = -3n
20 + -3n = 2 + 7n + -7n

Combine like terms: 7n + -7n = 0
20 + -3n = 2 + 0
20 + -3n = 2

Add '-20' to each side of the equation.
20 + -20 + -3n = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -3n = 2 + -20
-3n = 2 + -20

Combine like terms: 2 + -20 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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