7(3n-8)=24+12n-17

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Solution for 7(3n-8)=24+12n-17 equation:


Simplifying
7(3n + -8) = 24 + 12n + -17

Reorder the terms:
7(-8 + 3n) = 24 + 12n + -17
(-8 * 7 + 3n * 7) = 24 + 12n + -17
(-56 + 21n) = 24 + 12n + -17

Reorder the terms:
-56 + 21n = 24 + -17 + 12n

Combine like terms: 24 + -17 = 7
-56 + 21n = 7 + 12n

Solving
-56 + 21n = 7 + 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-56 + 21n + -12n = 7 + 12n + -12n

Combine like terms: 21n + -12n = 9n
-56 + 9n = 7 + 12n + -12n

Combine like terms: 12n + -12n = 0
-56 + 9n = 7 + 0
-56 + 9n = 7

Add '56' to each side of the equation.
-56 + 56 + 9n = 7 + 56

Combine like terms: -56 + 56 = 0
0 + 9n = 7 + 56
9n = 7 + 56

Combine like terms: 7 + 56 = 63
9n = 63

Divide each side by '9'.
n = 7

Simplifying
n = 7

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