7(n+4)=2(3n+17)

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Solution for 7(n+4)=2(3n+17) equation:


Simplifying
7(n + 4) = 2(3n + 17)

Reorder the terms:
7(4 + n) = 2(3n + 17)
(4 * 7 + n * 7) = 2(3n + 17)
(28 + 7n) = 2(3n + 17)

Reorder the terms:
28 + 7n = 2(17 + 3n)
28 + 7n = (17 * 2 + 3n * 2)
28 + 7n = (34 + 6n)

Solving
28 + 7n = 34 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
28 + 7n + -6n = 34 + 6n + -6n

Combine like terms: 7n + -6n = 1n
28 + 1n = 34 + 6n + -6n

Combine like terms: 6n + -6n = 0
28 + 1n = 34 + 0
28 + 1n = 34

Add '-28' to each side of the equation.
28 + -28 + 1n = 34 + -28

Combine like terms: 28 + -28 = 0
0 + 1n = 34 + -28
1n = 34 + -28

Combine like terms: 34 + -28 = 6
1n = 6

Divide each side by '1'.
n = 6

Simplifying
n = 6

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