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

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


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

Reorder the terms:
6(-3 + 3n) = 4(n + 7) + 7
(-3 * 6 + 3n * 6) = 4(n + 7) + 7
(-18 + 18n) = 4(n + 7) + 7

Reorder the terms:
-18 + 18n = 4(7 + n) + 7
-18 + 18n = (7 * 4 + n * 4) + 7
-18 + 18n = (28 + 4n) + 7

Reorder the terms:
-18 + 18n = 28 + 7 + 4n

Combine like terms: 28 + 7 = 35
-18 + 18n = 35 + 4n

Solving
-18 + 18n = 35 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-18 + 18n + -4n = 35 + 4n + -4n

Combine like terms: 18n + -4n = 14n
-18 + 14n = 35 + 4n + -4n

Combine like terms: 4n + -4n = 0
-18 + 14n = 35 + 0
-18 + 14n = 35

Add '18' to each side of the equation.
-18 + 18 + 14n = 35 + 18

Combine like terms: -18 + 18 = 0
0 + 14n = 35 + 18
14n = 35 + 18

Combine like terms: 35 + 18 = 53
14n = 53

Divide each side by '14'.
n = 3.785714286

Simplifying
n = 3.785714286

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