2(2n-5)=(7n+9)+4

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Solution for 2(2n-5)=(7n+9)+4 equation:


Simplifying
2(2n + -5) = (7n + 9) + 4

Reorder the terms:
2(-5 + 2n) = (7n + 9) + 4
(-5 * 2 + 2n * 2) = (7n + 9) + 4
(-10 + 4n) = (7n + 9) + 4

Reorder the terms:
-10 + 4n = (9 + 7n) + 4

Remove parenthesis around (9 + 7n)
-10 + 4n = 9 + 7n + 4

Reorder the terms:
-10 + 4n = 9 + 4 + 7n

Combine like terms: 9 + 4 = 13
-10 + 4n = 13 + 7n

Solving
-10 + 4n = 13 + 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.
-10 + 4n + -7n = 13 + 7n + -7n

Combine like terms: 4n + -7n = -3n
-10 + -3n = 13 + 7n + -7n

Combine like terms: 7n + -7n = 0
-10 + -3n = 13 + 0
-10 + -3n = 13

Add '10' to each side of the equation.
-10 + 10 + -3n = 13 + 10

Combine like terms: -10 + 10 = 0
0 + -3n = 13 + 10
-3n = 13 + 10

Combine like terms: 13 + 10 = 23
-3n = 23

Divide each side by '-3'.
n = -7.666666667

Simplifying
n = -7.666666667

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