2(2n-3)=(7n+4)+2

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Solution for 2(2n-3)=(7n+4)+2 equation:


Simplifying
2(2n + -3) = (7n + 4) + 2

Reorder the terms:
2(-3 + 2n) = (7n + 4) + 2
(-3 * 2 + 2n * 2) = (7n + 4) + 2
(-6 + 4n) = (7n + 4) + 2

Reorder the terms:
-6 + 4n = (4 + 7n) + 2

Remove parenthesis around (4 + 7n)
-6 + 4n = 4 + 7n + 2

Reorder the terms:
-6 + 4n = 4 + 2 + 7n

Combine like terms: 4 + 2 = 6
-6 + 4n = 6 + 7n

Solving
-6 + 4n = 6 + 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.
-6 + 4n + -7n = 6 + 7n + -7n

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

Combine like terms: 7n + -7n = 0
-6 + -3n = 6 + 0
-6 + -3n = 6

Add '6' to each side of the equation.
-6 + 6 + -3n = 6 + 6

Combine like terms: -6 + 6 = 0
0 + -3n = 6 + 6
-3n = 6 + 6

Combine like terms: 6 + 6 = 12
-3n = 12

Divide each side by '-3'.
n = -4

Simplifying
n = -4

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