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

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


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

Reorder the terms:
-18 + 18n + -7(-4 + 7n) = -21
-18 + 18n + (-4 * -7 + 7n * -7) = -21
-18 + 18n + (28 + -49n) = -21

Reorder the terms:
-18 + 28 + 18n + -49n = -21

Combine like terms: -18 + 28 = 10
10 + 18n + -49n = -21

Combine like terms: 18n + -49n = -31n
10 + -31n = -21

Solving
10 + -31n = -21

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + -31n = -21 + -10

Combine like terms: 10 + -10 = 0
0 + -31n = -21 + -10
-31n = -21 + -10

Combine like terms: -21 + -10 = -31
-31n = -31

Divide each side by '-31'.
n = 1

Simplifying
n = 1

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