4-6(-2+3n)=-34-8n

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Solution for 4-6(-2+3n)=-34-8n equation:


Simplifying
4 + -6(-2 + 3n) = -34 + -8n
4 + (-2 * -6 + 3n * -6) = -34 + -8n
4 + (12 + -18n) = -34 + -8n

Combine like terms: 4 + 12 = 16
16 + -18n = -34 + -8n

Solving
16 + -18n = -34 + -8n

Solving for variable 'n'.

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

Add '8n' to each side of the equation.
16 + -18n + 8n = -34 + -8n + 8n

Combine like terms: -18n + 8n = -10n
16 + -10n = -34 + -8n + 8n

Combine like terms: -8n + 8n = 0
16 + -10n = -34 + 0
16 + -10n = -34

Add '-16' to each side of the equation.
16 + -16 + -10n = -34 + -16

Combine like terms: 16 + -16 = 0
0 + -10n = -34 + -16
-10n = -34 + -16

Combine like terms: -34 + -16 = -50
-10n = -50

Divide each side by '-10'.
n = 5

Simplifying
n = 5

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