2+5(4n+7)=37+5n

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Solution for 2+5(4n+7)=37+5n equation:


Simplifying
2 + 5(4n + 7) = 37 + 5n

Reorder the terms:
2 + 5(7 + 4n) = 37 + 5n
2 + (7 * 5 + 4n * 5) = 37 + 5n
2 + (35 + 20n) = 37 + 5n

Combine like terms: 2 + 35 = 37
37 + 20n = 37 + 5n

Add '-37' to each side of the equation.
37 + -37 + 20n = 37 + -37 + 5n

Combine like terms: 37 + -37 = 0
0 + 20n = 37 + -37 + 5n
20n = 37 + -37 + 5n

Combine like terms: 37 + -37 = 0
20n = 0 + 5n
20n = 5n

Solving
20n = 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.
20n + -5n = 5n + -5n

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

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

Divide each side by '15'.
n = 0

Simplifying
n = 0

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