2(n+4)+8n-5(n+3)=43

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Solution for 2(n+4)+8n-5(n+3)=43 equation:


Simplifying
2(n + 4) + 8n + -5(n + 3) = 43

Reorder the terms:
2(4 + n) + 8n + -5(n + 3) = 43
(4 * 2 + n * 2) + 8n + -5(n + 3) = 43
(8 + 2n) + 8n + -5(n + 3) = 43

Reorder the terms:
8 + 2n + 8n + -5(3 + n) = 43
8 + 2n + 8n + (3 * -5 + n * -5) = 43
8 + 2n + 8n + (-15 + -5n) = 43

Reorder the terms:
8 + -15 + 2n + 8n + -5n = 43

Combine like terms: 8 + -15 = -7
-7 + 2n + 8n + -5n = 43

Combine like terms: 2n + 8n = 10n
-7 + 10n + -5n = 43

Combine like terms: 10n + -5n = 5n
-7 + 5n = 43

Solving
-7 + 5n = 43

Solving for variable 'n'.

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

Add '7' to each side of the equation.
-7 + 7 + 5n = 43 + 7

Combine like terms: -7 + 7 = 0
0 + 5n = 43 + 7
5n = 43 + 7

Combine like terms: 43 + 7 = 50
5n = 50

Divide each side by '5'.
n = 10

Simplifying
n = 10

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