7(n-3)+5n=5+2(1+4n)

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Solution for 7(n-3)+5n=5+2(1+4n) equation:


Simplifying
7(n + -3) + 5n = 5 + 2(1 + 4n)

Reorder the terms:
7(-3 + n) + 5n = 5 + 2(1 + 4n)
(-3 * 7 + n * 7) + 5n = 5 + 2(1 + 4n)
(-21 + 7n) + 5n = 5 + 2(1 + 4n)

Combine like terms: 7n + 5n = 12n
-21 + 12n = 5 + 2(1 + 4n)
-21 + 12n = 5 + (1 * 2 + 4n * 2)
-21 + 12n = 5 + (2 + 8n)

Combine like terms: 5 + 2 = 7
-21 + 12n = 7 + 8n

Solving
-21 + 12n = 7 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-21 + 12n + -8n = 7 + 8n + -8n

Combine like terms: 12n + -8n = 4n
-21 + 4n = 7 + 8n + -8n

Combine like terms: 8n + -8n = 0
-21 + 4n = 7 + 0
-21 + 4n = 7

Add '21' to each side of the equation.
-21 + 21 + 4n = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 4n = 7 + 21
4n = 7 + 21

Combine like terms: 7 + 21 = 28
4n = 28

Divide each side by '4'.
n = 7

Simplifying
n = 7

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