4(n+3)=7n-3

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


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

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

Reorder the terms:
12 + 4n = -3 + 7n

Solving
12 + 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.
12 + 4n + -7n = -3 + 7n + -7n

Combine like terms: 4n + -7n = -3n
12 + -3n = -3 + 7n + -7n

Combine like terms: 7n + -7n = 0
12 + -3n = -3 + 0
12 + -3n = -3

Add '-12' to each side of the equation.
12 + -12 + -3n = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -3n = -3 + -12
-3n = -3 + -12

Combine like terms: -3 + -12 = -15
-3n = -15

Divide each side by '-3'.
n = 5

Simplifying
n = 5

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