7(5-6n)-2(n+1)=-11

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Solution for 7(5-6n)-2(n+1)=-11 equation:


Simplifying
7(5 + -6n) + -2(n + 1) = -11
(5 * 7 + -6n * 7) + -2(n + 1) = -11
(35 + -42n) + -2(n + 1) = -11

Reorder the terms:
35 + -42n + -2(1 + n) = -11
35 + -42n + (1 * -2 + n * -2) = -11
35 + -42n + (-2 + -2n) = -11

Reorder the terms:
35 + -2 + -42n + -2n = -11

Combine like terms: 35 + -2 = 33
33 + -42n + -2n = -11

Combine like terms: -42n + -2n = -44n
33 + -44n = -11

Solving
33 + -44n = -11

Solving for variable 'n'.

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

Add '-33' to each side of the equation.
33 + -33 + -44n = -11 + -33

Combine like terms: 33 + -33 = 0
0 + -44n = -11 + -33
-44n = -11 + -33

Combine like terms: -11 + -33 = -44
-44n = -44

Divide each side by '-44'.
n = 1

Simplifying
n = 1

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