4(n-3)-(7-2n)=5n

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Solution for 4(n-3)-(7-2n)=5n equation:


Simplifying
4(n + -3) + -1(7 + -2n) = 5n

Reorder the terms:
4(-3 + n) + -1(7 + -2n) = 5n
(-3 * 4 + n * 4) + -1(7 + -2n) = 5n
(-12 + 4n) + -1(7 + -2n) = 5n
-12 + 4n + (7 * -1 + -2n * -1) = 5n
-12 + 4n + (-7 + 2n) = 5n

Reorder the terms:
-12 + -7 + 4n + 2n = 5n

Combine like terms: -12 + -7 = -19
-19 + 4n + 2n = 5n

Combine like terms: 4n + 2n = 6n
-19 + 6n = 5n

Solving
-19 + 6n = 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.
-19 + 6n + -5n = 5n + -5n

Combine like terms: 6n + -5n = 1n
-19 + 1n = 5n + -5n

Combine like terms: 5n + -5n = 0
-19 + 1n = 0

Add '19' to each side of the equation.
-19 + 19 + 1n = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 1n = 0 + 19
1n = 0 + 19

Combine like terms: 0 + 19 = 19
1n = 19

Divide each side by '1'.
n = 19

Simplifying
n = 19

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