-7(n+6)-(5-3n)=-5n

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Solution for -7(n+6)-(5-3n)=-5n equation:


Simplifying
-7(n + 6) + -1(5 + -3n) = -5n

Reorder the terms:
-7(6 + n) + -1(5 + -3n) = -5n
(6 * -7 + n * -7) + -1(5 + -3n) = -5n
(-42 + -7n) + -1(5 + -3n) = -5n
-42 + -7n + (5 * -1 + -3n * -1) = -5n
-42 + -7n + (-5 + 3n) = -5n

Reorder the terms:
-42 + -5 + -7n + 3n = -5n

Combine like terms: -42 + -5 = -47
-47 + -7n + 3n = -5n

Combine like terms: -7n + 3n = -4n
-47 + -4n = -5n

Solving
-47 + -4n = -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-47 + -4n + 5n = -5n + 5n

Combine like terms: -4n + 5n = 1n
-47 + 1n = -5n + 5n

Combine like terms: -5n + 5n = 0
-47 + 1n = 0

Add '47' to each side of the equation.
-47 + 47 + 1n = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 1n = 0 + 47
1n = 0 + 47

Combine like terms: 0 + 47 = 47
1n = 47

Divide each side by '1'.
n = 47

Simplifying
n = 47

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