10n-5(5n-6)=6(1-2n)

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Solution for 10n-5(5n-6)=6(1-2n) equation:


Simplifying
10n + -5(5n + -6) = 6(1 + -2n)

Reorder the terms:
10n + -5(-6 + 5n) = 6(1 + -2n)
10n + (-6 * -5 + 5n * -5) = 6(1 + -2n)
10n + (30 + -25n) = 6(1 + -2n)

Reorder the terms:
30 + 10n + -25n = 6(1 + -2n)

Combine like terms: 10n + -25n = -15n
30 + -15n = 6(1 + -2n)
30 + -15n = (1 * 6 + -2n * 6)
30 + -15n = (6 + -12n)

Solving
30 + -15n = 6 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
30 + -15n + 12n = 6 + -12n + 12n

Combine like terms: -15n + 12n = -3n
30 + -3n = 6 + -12n + 12n

Combine like terms: -12n + 12n = 0
30 + -3n = 6 + 0
30 + -3n = 6

Add '-30' to each side of the equation.
30 + -30 + -3n = 6 + -30

Combine like terms: 30 + -30 = 0
0 + -3n = 6 + -30
-3n = 6 + -30

Combine like terms: 6 + -30 = -24
-3n = -24

Divide each side by '-3'.
n = 8

Simplifying
n = 8

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