20+5n=2(4-5n)+3n

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Solution for 20+5n=2(4-5n)+3n equation:


Simplifying
20 + 5n = 2(4 + -5n) + 3n
20 + 5n = (4 * 2 + -5n * 2) + 3n
20 + 5n = (8 + -10n) + 3n

Combine like terms: -10n + 3n = -7n
20 + 5n = 8 + -7n

Solving
20 + 5n = 8 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
20 + 5n + 7n = 8 + -7n + 7n

Combine like terms: 5n + 7n = 12n
20 + 12n = 8 + -7n + 7n

Combine like terms: -7n + 7n = 0
20 + 12n = 8 + 0
20 + 12n = 8

Add '-20' to each side of the equation.
20 + -20 + 12n = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 12n = 8 + -20
12n = 8 + -20

Combine like terms: 8 + -20 = -12
12n = -12

Divide each side by '12'.
n = -1

Simplifying
n = -1

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