4(n-7)-(5-3n)=6n

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Solution for 4(n-7)-(5-3n)=6n equation:


Simplifying
4(n + -7) + -1(5 + -3n) = 6n

Reorder the terms:
4(-7 + n) + -1(5 + -3n) = 6n
(-7 * 4 + n * 4) + -1(5 + -3n) = 6n
(-28 + 4n) + -1(5 + -3n) = 6n
-28 + 4n + (5 * -1 + -3n * -1) = 6n
-28 + 4n + (-5 + 3n) = 6n

Reorder the terms:
-28 + -5 + 4n + 3n = 6n

Combine like terms: -28 + -5 = -33
-33 + 4n + 3n = 6n

Combine like terms: 4n + 3n = 7n
-33 + 7n = 6n

Solving
-33 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-33 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
-33 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
-33 + 1n = 0

Add '33' to each side of the equation.
-33 + 33 + 1n = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 1n = 0 + 33
1n = 0 + 33

Combine like terms: 0 + 33 = 33
1n = 33

Divide each side by '1'.
n = 33

Simplifying
n = 33

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