4(n+6)=7n-3

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


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

Reorder the terms:
4(6 + n) = 7n + -3
(6 * 4 + n * 4) = 7n + -3
(24 + 4n) = 7n + -3

Reorder the terms:
24 + 4n = -3 + 7n

Solving
24 + 4n = -3 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
24 + 4n + -7n = -3 + 7n + -7n

Combine like terms: 4n + -7n = -3n
24 + -3n = -3 + 7n + -7n

Combine like terms: 7n + -7n = 0
24 + -3n = -3 + 0
24 + -3n = -3

Add '-24' to each side of the equation.
24 + -24 + -3n = -3 + -24

Combine like terms: 24 + -24 = 0
0 + -3n = -3 + -24
-3n = -3 + -24

Combine like terms: -3 + -24 = -27
-3n = -27

Divide each side by '-3'.
n = 9

Simplifying
n = 9

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