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

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


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

Reorder the terms:
-21 + 3n = 6(7 + 4n)
-21 + 3n = (7 * 6 + 4n * 6)
-21 + 3n = (42 + 24n)

Solving
-21 + 3n = 42 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
-21 + 3n + -24n = 42 + 24n + -24n

Combine like terms: 3n + -24n = -21n
-21 + -21n = 42 + 24n + -24n

Combine like terms: 24n + -24n = 0
-21 + -21n = 42 + 0
-21 + -21n = 42

Add '21' to each side of the equation.
-21 + 21 + -21n = 42 + 21

Combine like terms: -21 + 21 = 0
0 + -21n = 42 + 21
-21n = 42 + 21

Combine like terms: 42 + 21 = 63
-21n = 63

Divide each side by '-21'.
n = -3

Simplifying
n = -3

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