21-2n=-7+6(n-6)

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Solution for 21-2n=-7+6(n-6) equation:


Simplifying
21 + -2n = -7 + 6(n + -6)

Reorder the terms:
21 + -2n = -7 + 6(-6 + n)
21 + -2n = -7 + (-6 * 6 + n * 6)
21 + -2n = -7 + (-36 + 6n)

Combine like terms: -7 + -36 = -43
21 + -2n = -43 + 6n

Solving
21 + -2n = -43 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
21 + -2n + -6n = -43 + 6n + -6n

Combine like terms: -2n + -6n = -8n
21 + -8n = -43 + 6n + -6n

Combine like terms: 6n + -6n = 0
21 + -8n = -43 + 0
21 + -8n = -43

Add '-21' to each side of the equation.
21 + -21 + -8n = -43 + -21

Combine like terms: 21 + -21 = 0
0 + -8n = -43 + -21
-8n = -43 + -21

Combine like terms: -43 + -21 = -64
-8n = -64

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

Simplifying
n = 8

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