5n+3(n-2)-7=43

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Solution for 5n+3(n-2)-7=43 equation:


Simplifying
5n + 3(n + -2) + -7 = 43

Reorder the terms:
5n + 3(-2 + n) + -7 = 43
5n + (-2 * 3 + n * 3) + -7 = 43
5n + (-6 + 3n) + -7 = 43

Reorder the terms:
-6 + -7 + 5n + 3n = 43

Combine like terms: -6 + -7 = -13
-13 + 5n + 3n = 43

Combine like terms: 5n + 3n = 8n
-13 + 8n = 43

Solving
-13 + 8n = 43

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + 8n = 43 + 13

Combine like terms: -13 + 13 = 0
0 + 8n = 43 + 13
8n = 43 + 13

Combine like terms: 43 + 13 = 56
8n = 56

Divide each side by '8'.
n = 7

Simplifying
n = 7

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