8(n-2)-(3-3n)=10n

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Solution for 8(n-2)-(3-3n)=10n equation:


Simplifying
8(n + -2) + -1(3 + -3n) = 10n

Reorder the terms:
8(-2 + n) + -1(3 + -3n) = 10n
(-2 * 8 + n * 8) + -1(3 + -3n) = 10n
(-16 + 8n) + -1(3 + -3n) = 10n
-16 + 8n + (3 * -1 + -3n * -1) = 10n
-16 + 8n + (-3 + 3n) = 10n

Reorder the terms:
-16 + -3 + 8n + 3n = 10n

Combine like terms: -16 + -3 = -19
-19 + 8n + 3n = 10n

Combine like terms: 8n + 3n = 11n
-19 + 11n = 10n

Solving
-19 + 11n = 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-19 + 11n + -10n = 10n + -10n

Combine like terms: 11n + -10n = 1n
-19 + 1n = 10n + -10n

Combine like terms: 10n + -10n = 0
-19 + 1n = 0

Add '19' to each side of the equation.
-19 + 19 + 1n = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 1n = 0 + 19
1n = 0 + 19

Combine like terms: 0 + 19 = 19
1n = 19

Divide each side by '1'.
n = 19

Simplifying
n = 19

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