-6n+16-3n+7=n-42

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Solution for -6n+16-3n+7=n-42 equation: 


Simplifying
-6n + 16 + -3n + 7 = n + -42

Reorder the terms:
16 + 7 + -6n + -3n = n + -42

Combine like terms: 16 + 7 = 23
23 + -6n + -3n = n + -42

Combine like terms: -6n + -3n = -9n
23 + -9n = n + -42

Reorder the terms:
23 + -9n = -42 + n

Solving
23 + -9n = -42 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
23 + -9n + -1n = -42 + n + -1n

Combine like terms: -9n + -1n = -10n
23 + -10n = -42 + n + -1n

Combine like terms: n + -1n = 0
23 + -10n = -42 + 0
23 + -10n = -42

Add '-23' to each side of the equation.
23 + -23 + -10n = -42 + -23

Combine like terms: 23 + -23 = 0
0 + -10n = -42 + -23
-10n = -42 + -23

Combine like terms: -42 + -23 = -65
-10n = -65

Divide each side by '-10'.
n = 6.5

Simplifying
n = 6.5

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