-2(8+2n)-6(4n-7)=-30

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Solution for -2(8+2n)-6(4n-7)=-30 equation:


Simplifying
-2(8 + 2n) + -6(4n + -7) = -30
(8 * -2 + 2n * -2) + -6(4n + -7) = -30
(-16 + -4n) + -6(4n + -7) = -30

Reorder the terms:
-16 + -4n + -6(-7 + 4n) = -30
-16 + -4n + (-7 * -6 + 4n * -6) = -30
-16 + -4n + (42 + -24n) = -30

Reorder the terms:
-16 + 42 + -4n + -24n = -30

Combine like terms: -16 + 42 = 26
26 + -4n + -24n = -30

Combine like terms: -4n + -24n = -28n
26 + -28n = -30

Solving
26 + -28n = -30

Solving for variable 'n'.

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

Add '-26' to each side of the equation.
26 + -26 + -28n = -30 + -26

Combine like terms: 26 + -26 = 0
0 + -28n = -30 + -26
-28n = -30 + -26

Combine like terms: -30 + -26 = -56
-28n = -56

Divide each side by '-28'.
n = 2

Simplifying
n = 2

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