4(5n-7)=10n+2

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Solution for 4(5n-7)=10n+2 equation:


Simplifying
4(5n + -7) = 10n + 2

Reorder the terms:
4(-7 + 5n) = 10n + 2
(-7 * 4 + 5n * 4) = 10n + 2
(-28 + 20n) = 10n + 2

Reorder the terms:
-28 + 20n = 2 + 10n

Solving
-28 + 20n = 2 + 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.
-28 + 20n + -10n = 2 + 10n + -10n

Combine like terms: 20n + -10n = 10n
-28 + 10n = 2 + 10n + -10n

Combine like terms: 10n + -10n = 0
-28 + 10n = 2 + 0
-28 + 10n = 2

Add '28' to each side of the equation.
-28 + 28 + 10n = 2 + 28

Combine like terms: -28 + 28 = 0
0 + 10n = 2 + 28
10n = 2 + 28

Combine like terms: 2 + 28 = 30
10n = 30

Divide each side by '10'.
n = 3

Simplifying
n = 3

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