8n-7(-6n-2)=-33+3n

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Solution for 8n-7(-6n-2)=-33+3n equation:


Simplifying
8n + -7(-6n + -2) = -33 + 3n

Reorder the terms:
8n + -7(-2 + -6n) = -33 + 3n
8n + (-2 * -7 + -6n * -7) = -33 + 3n
8n + (14 + 42n) = -33 + 3n

Reorder the terms:
14 + 8n + 42n = -33 + 3n

Combine like terms: 8n + 42n = 50n
14 + 50n = -33 + 3n

Solving
14 + 50n = -33 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
14 + 50n + -3n = -33 + 3n + -3n

Combine like terms: 50n + -3n = 47n
14 + 47n = -33 + 3n + -3n

Combine like terms: 3n + -3n = 0
14 + 47n = -33 + 0
14 + 47n = -33

Add '-14' to each side of the equation.
14 + -14 + 47n = -33 + -14

Combine like terms: 14 + -14 = 0
0 + 47n = -33 + -14
47n = -33 + -14

Combine like terms: -33 + -14 = -47
47n = -47

Divide each side by '47'.
n = -1

Simplifying
n = -1

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