-7(n+2)+15=-3n-19

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Solution for -7(n+2)+15=-3n-19 equation:


Simplifying
-7(n + 2) + 15 = -3n + -19

Reorder the terms:
-7(2 + n) + 15 = -3n + -19
(2 * -7 + n * -7) + 15 = -3n + -19
(-14 + -7n) + 15 = -3n + -19

Reorder the terms:
-14 + 15 + -7n = -3n + -19

Combine like terms: -14 + 15 = 1
1 + -7n = -3n + -19

Reorder the terms:
1 + -7n = -19 + -3n

Solving
1 + -7n = -19 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
1 + -7n + 3n = -19 + -3n + 3n

Combine like terms: -7n + 3n = -4n
1 + -4n = -19 + -3n + 3n

Combine like terms: -3n + 3n = 0
1 + -4n = -19 + 0
1 + -4n = -19

Add '-1' to each side of the equation.
1 + -1 + -4n = -19 + -1

Combine like terms: 1 + -1 = 0
0 + -4n = -19 + -1
-4n = -19 + -1

Combine like terms: -19 + -1 = -20
-4n = -20

Divide each side by '-4'.
n = 5

Simplifying
n = 5

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