23(n+28)=-17n-196

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Solution for 23(n+28)=-17n-196 equation:


Simplifying
23(n + 28) = -17n + -196

Reorder the terms:
23(28 + n) = -17n + -196
(28 * 23 + n * 23) = -17n + -196
(644 + 23n) = -17n + -196

Reorder the terms:
644 + 23n = -196 + -17n

Solving
644 + 23n = -196 + -17n

Solving for variable 'n'.

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

Add '17n' to each side of the equation.
644 + 23n + 17n = -196 + -17n + 17n

Combine like terms: 23n + 17n = 40n
644 + 40n = -196 + -17n + 17n

Combine like terms: -17n + 17n = 0
644 + 40n = -196 + 0
644 + 40n = -196

Add '-644' to each side of the equation.
644 + -644 + 40n = -196 + -644

Combine like terms: 644 + -644 = 0
0 + 40n = -196 + -644
40n = -196 + -644

Combine like terms: -196 + -644 = -840
40n = -840

Divide each side by '40'.
n = -21

Simplifying
n = -21

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