-9-7(10n+8)=-11(7n-3)

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Solution for -9-7(10n+8)=-11(7n-3) equation:


Simplifying
-9 + -7(10n + 8) = -11(7n + -3)

Reorder the terms:
-9 + -7(8 + 10n) = -11(7n + -3)
-9 + (8 * -7 + 10n * -7) = -11(7n + -3)
-9 + (-56 + -70n) = -11(7n + -3)

Combine like terms: -9 + -56 = -65
-65 + -70n = -11(7n + -3)

Reorder the terms:
-65 + -70n = -11(-3 + 7n)
-65 + -70n = (-3 * -11 + 7n * -11)
-65 + -70n = (33 + -77n)

Solving
-65 + -70n = 33 + -77n

Solving for variable 'n'.

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

Add '77n' to each side of the equation.
-65 + -70n + 77n = 33 + -77n + 77n

Combine like terms: -70n + 77n = 7n
-65 + 7n = 33 + -77n + 77n

Combine like terms: -77n + 77n = 0
-65 + 7n = 33 + 0
-65 + 7n = 33

Add '65' to each side of the equation.
-65 + 65 + 7n = 33 + 65

Combine like terms: -65 + 65 = 0
0 + 7n = 33 + 65
7n = 33 + 65

Combine like terms: 33 + 65 = 98
7n = 98

Divide each side by '7'.
n = 14

Simplifying
n = 14

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