-5(1-5n)-5(3n-7)=-30

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Solution for -5(1-5n)-5(3n-7)=-30 equation:


Simplifying
-5(1 + -5n) + -5(3n + -7) = -30
(1 * -5 + -5n * -5) + -5(3n + -7) = -30
(-5 + 25n) + -5(3n + -7) = -30

Reorder the terms:
-5 + 25n + -5(-7 + 3n) = -30
-5 + 25n + (-7 * -5 + 3n * -5) = -30
-5 + 25n + (35 + -15n) = -30

Reorder the terms:
-5 + 35 + 25n + -15n = -30

Combine like terms: -5 + 35 = 30
30 + 25n + -15n = -30

Combine like terms: 25n + -15n = 10n
30 + 10n = -30

Solving
30 + 10n = -30

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + 10n = -30 + -30

Combine like terms: 30 + -30 = 0
0 + 10n = -30 + -30
10n = -30 + -30

Combine like terms: -30 + -30 = -60
10n = -60

Divide each side by '10'.
n = -6

Simplifying
n = -6

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