7(n-6)+3n=-10-6n

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Solution for 7(n-6)+3n=-10-6n equation:


Simplifying
7(n + -6) + 3n = -10 + -6n

Reorder the terms:
7(-6 + n) + 3n = -10 + -6n
(-6 * 7 + n * 7) + 3n = -10 + -6n
(-42 + 7n) + 3n = -10 + -6n

Combine like terms: 7n + 3n = 10n
-42 + 10n = -10 + -6n

Solving
-42 + 10n = -10 + -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.
-42 + 10n + 6n = -10 + -6n + 6n

Combine like terms: 10n + 6n = 16n
-42 + 16n = -10 + -6n + 6n

Combine like terms: -6n + 6n = 0
-42 + 16n = -10 + 0
-42 + 16n = -10

Add '42' to each side of the equation.
-42 + 42 + 16n = -10 + 42

Combine like terms: -42 + 42 = 0
0 + 16n = -10 + 42
16n = -10 + 42

Combine like terms: -10 + 42 = 32
16n = 32

Divide each side by '16'.
n = 2

Simplifying
n = 2

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