9(n-4)-(7-2n)=10n

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Solution for 9(n-4)-(7-2n)=10n equation:


Simplifying
9(n + -4) + -1(7 + -2n) = 10n

Reorder the terms:
9(-4 + n) + -1(7 + -2n) = 10n
(-4 * 9 + n * 9) + -1(7 + -2n) = 10n
(-36 + 9n) + -1(7 + -2n) = 10n
-36 + 9n + (7 * -1 + -2n * -1) = 10n
-36 + 9n + (-7 + 2n) = 10n

Reorder the terms:
-36 + -7 + 9n + 2n = 10n

Combine like terms: -36 + -7 = -43
-43 + 9n + 2n = 10n

Combine like terms: 9n + 2n = 11n
-43 + 11n = 10n

Solving
-43 + 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.
-43 + 11n + -10n = 10n + -10n

Combine like terms: 11n + -10n = 1n
-43 + 1n = 10n + -10n

Combine like terms: 10n + -10n = 0
-43 + 1n = 0

Add '43' to each side of the equation.
-43 + 43 + 1n = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 1n = 0 + 43
1n = 0 + 43

Combine like terms: 0 + 43 = 43
1n = 43

Divide each side by '1'.
n = 43

Simplifying
n = 43

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