2n+16=10n+40

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Solution for 2n+16=10n+40 equation:


Simplifying
2n + 16 = 10n + 40

Reorder the terms:
16 + 2n = 10n + 40

Reorder the terms:
16 + 2n = 40 + 10n

Solving
16 + 2n = 40 + 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.
16 + 2n + -10n = 40 + 10n + -10n

Combine like terms: 2n + -10n = -8n
16 + -8n = 40 + 10n + -10n

Combine like terms: 10n + -10n = 0
16 + -8n = 40 + 0
16 + -8n = 40

Add '-16' to each side of the equation.
16 + -16 + -8n = 40 + -16

Combine like terms: 16 + -16 = 0
0 + -8n = 40 + -16
-8n = 40 + -16

Combine like terms: 40 + -16 = 24
-8n = 24

Divide each side by '-8'.
n = -3

Simplifying
n = -3

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