21-4n=7-6(3+6n)

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Solution for 21-4n=7-6(3+6n) equation:


Simplifying
21 + -4n = 7 + -6(3 + 6n)
21 + -4n = 7 + (3 * -6 + 6n * -6)
21 + -4n = 7 + (-18 + -36n)

Combine like terms: 7 + -18 = -11
21 + -4n = -11 + -36n

Solving
21 + -4n = -11 + -36n

Solving for variable 'n'.

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

Add '36n' to each side of the equation.
21 + -4n + 36n = -11 + -36n + 36n

Combine like terms: -4n + 36n = 32n
21 + 32n = -11 + -36n + 36n

Combine like terms: -36n + 36n = 0
21 + 32n = -11 + 0
21 + 32n = -11

Add '-21' to each side of the equation.
21 + -21 + 32n = -11 + -21

Combine like terms: 21 + -21 = 0
0 + 32n = -11 + -21
32n = -11 + -21

Combine like terms: -11 + -21 = -32
32n = -32

Divide each side by '32'.
n = -1

Simplifying
n = -1

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