2(3+2n)=7n-24

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Solution for 2(3+2n)=7n-24 equation:


Simplifying
2(3 + 2n) = 7n + -24
(3 * 2 + 2n * 2) = 7n + -24
(6 + 4n) = 7n + -24

Reorder the terms:
6 + 4n = -24 + 7n

Solving
6 + 4n = -24 + 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 = -24 + 7n + -7n

Combine like terms: 4n + -7n = -3n
6 + -3n = -24 + 7n + -7n

Combine like terms: 7n + -7n = 0
6 + -3n = -24 + 0
6 + -3n = -24

Add '-6' to each side of the equation.
6 + -6 + -3n = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = -24 + -6
-3n = -24 + -6

Combine like terms: -24 + -6 = -30
-3n = -30

Divide each side by '-3'.
n = 10

Simplifying
n = 10

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