-8n+4(1+5n)=-2(3n+7)

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Solution for -8n+4(1+5n)=-2(3n+7) equation:


Simplifying
-8n + 4(1 + 5n) = -2(3n + 7)
-8n + (1 * 4 + 5n * 4) = -2(3n + 7)
-8n + (4 + 20n) = -2(3n + 7)

Reorder the terms:
4 + -8n + 20n = -2(3n + 7)

Combine like terms: -8n + 20n = 12n
4 + 12n = -2(3n + 7)

Reorder the terms:
4 + 12n = -2(7 + 3n)
4 + 12n = (7 * -2 + 3n * -2)
4 + 12n = (-14 + -6n)

Solving
4 + 12n = -14 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
4 + 12n + 6n = -14 + -6n + 6n

Combine like terms: 12n + 6n = 18n
4 + 18n = -14 + -6n + 6n

Combine like terms: -6n + 6n = 0
4 + 18n = -14 + 0
4 + 18n = -14

Add '-4' to each side of the equation.
4 + -4 + 18n = -14 + -4

Combine like terms: 4 + -4 = 0
0 + 18n = -14 + -4
18n = -14 + -4

Combine like terms: -14 + -4 = -18
18n = -18

Divide each side by '18'.
n = -1

Simplifying
n = -1

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