5(2n+4)=8(5n+8)+4

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Solution for 5(2n+4)=8(5n+8)+4 equation:


Simplifying
5(2n + 4) = 8(5n + 8) + 4

Reorder the terms:
5(4 + 2n) = 8(5n + 8) + 4
(4 * 5 + 2n * 5) = 8(5n + 8) + 4
(20 + 10n) = 8(5n + 8) + 4

Reorder the terms:
20 + 10n = 8(8 + 5n) + 4
20 + 10n = (8 * 8 + 5n * 8) + 4
20 + 10n = (64 + 40n) + 4

Reorder the terms:
20 + 10n = 64 + 4 + 40n

Combine like terms: 64 + 4 = 68
20 + 10n = 68 + 40n

Solving
20 + 10n = 68 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
20 + 10n + -40n = 68 + 40n + -40n

Combine like terms: 10n + -40n = -30n
20 + -30n = 68 + 40n + -40n

Combine like terms: 40n + -40n = 0
20 + -30n = 68 + 0
20 + -30n = 68

Add '-20' to each side of the equation.
20 + -20 + -30n = 68 + -20

Combine like terms: 20 + -20 = 0
0 + -30n = 68 + -20
-30n = 68 + -20

Combine like terms: 68 + -20 = 48
-30n = 48

Divide each side by '-30'.
n = -1.6

Simplifying
n = -1.6

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