10(2n-3)=(10n+6)+4

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Solution for 10(2n-3)=(10n+6)+4 equation:


Simplifying
10(2n + -3) = (10n + 6) + 4

Reorder the terms:
10(-3 + 2n) = (10n + 6) + 4
(-3 * 10 + 2n * 10) = (10n + 6) + 4
(-30 + 20n) = (10n + 6) + 4

Reorder the terms:
-30 + 20n = (6 + 10n) + 4

Remove parenthesis around (6 + 10n)
-30 + 20n = 6 + 10n + 4

Reorder the terms:
-30 + 20n = 6 + 4 + 10n

Combine like terms: 6 + 4 = 10
-30 + 20n = 10 + 10n

Solving
-30 + 20n = 10 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
-30 + 20n + -10n = 10 + 10n + -10n

Combine like terms: 20n + -10n = 10n
-30 + 10n = 10 + 10n + -10n

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

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

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

Combine like terms: 10 + 30 = 40
10n = 40

Divide each side by '10'.
n = 4

Simplifying
n = 4

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