7(-3n+5)=-11n-15

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Solution for 7(-3n+5)=-11n-15 equation:


Simplifying
7(-3n + 5) = -11n + -15

Reorder the terms:
7(5 + -3n) = -11n + -15
(5 * 7 + -3n * 7) = -11n + -15
(35 + -21n) = -11n + -15

Reorder the terms:
35 + -21n = -15 + -11n

Solving
35 + -21n = -15 + -11n

Solving for variable 'n'.

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

Add '11n' to each side of the equation.
35 + -21n + 11n = -15 + -11n + 11n

Combine like terms: -21n + 11n = -10n
35 + -10n = -15 + -11n + 11n

Combine like terms: -11n + 11n = 0
35 + -10n = -15 + 0
35 + -10n = -15

Add '-35' to each side of the equation.
35 + -35 + -10n = -15 + -35

Combine like terms: 35 + -35 = 0
0 + -10n = -15 + -35
-10n = -15 + -35

Combine like terms: -15 + -35 = -50
-10n = -50

Divide each side by '-10'.
n = 5

Simplifying
n = 5

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