4(n+4)=13n+7

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Solution for 4(n+4)=13n+7 equation:


Simplifying
4(n + 4) = 13n + 7

Reorder the terms:
4(4 + n) = 13n + 7
(4 * 4 + n * 4) = 13n + 7
(16 + 4n) = 13n + 7

Reorder the terms:
16 + 4n = 7 + 13n

Solving
16 + 4n = 7 + 13n

Solving for variable 'n'.

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

Add '-13n' to each side of the equation.
16 + 4n + -13n = 7 + 13n + -13n

Combine like terms: 4n + -13n = -9n
16 + -9n = 7 + 13n + -13n

Combine like terms: 13n + -13n = 0
16 + -9n = 7 + 0
16 + -9n = 7

Add '-16' to each side of the equation.
16 + -16 + -9n = 7 + -16

Combine like terms: 16 + -16 = 0
0 + -9n = 7 + -16
-9n = 7 + -16

Combine like terms: 7 + -16 = -9
-9n = -9

Divide each side by '-9'.
n = 1

Simplifying
n = 1

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