4(2n+3n)-3(7n-2n)=45

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Solution for 4(2n+3n)-3(7n-2n)=45 equation: 


Simplifying
4(2n + 3n) + -3(7n + -2n) = 45

Combine like terms: 2n + 3n = 5n
4(5n) + -3(7n + -2n) = 45

Remove parenthesis around (5n)
4 * 5n + -3(7n + -2n) = 45

Multiply 4 * 5
20n + -3(7n + -2n) = 45

Combine like terms: 7n + -2n = 5n
20n + -3(5n) = 45

Remove parenthesis around (5n)
20n + -3 * 5n = 45

Multiply -3 * 5
20n + -15n = 45

Combine like terms: 20n + -15n = 5n
5n = 45

Solving
5n = 45

Solving for variable 'n'.

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

Divide each side by '5'.
n = 9

Simplifying
n = 9

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