10-4(n-3)=-22

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Solution for 10-4(n-3)=-22 equation:


Simplifying
10 + -4(n + -3) = -22

Reorder the terms:
10 + -4(-3 + n) = -22
10 + (-3 * -4 + n * -4) = -22
10 + (12 + -4n) = -22

Combine like terms: 10 + 12 = 22
22 + -4n = -22

Solving
22 + -4n = -22

Solving for variable 'n'.

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

Add '-22' to each side of the equation.
22 + -22 + -4n = -22 + -22

Combine like terms: 22 + -22 = 0
0 + -4n = -22 + -22
-4n = -22 + -22

Combine like terms: -22 + -22 = -44
-4n = -44

Divide each side by '-4'.
n = 11

Simplifying
n = 11

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