4(2n+5)=6(3n+5)+3

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Solution for 4(2n+5)=6(3n+5)+3 equation: 


Simplifying
4(2n + 5) = 6(3n + 5) + 3

Reorder the terms:
4(5 + 2n) = 6(3n + 5) + 3
(5 * 4 + 2n * 4) = 6(3n + 5) + 3
(20 + 8n) = 6(3n + 5) + 3

Reorder the terms:
20 + 8n = 6(5 + 3n) + 3
20 + 8n = (5 * 6 + 3n * 6) + 3
20 + 8n = (30 + 18n) + 3

Reorder the terms:
20 + 8n = 30 + 3 + 18n

Combine like terms: 30 + 3 = 33
20 + 8n = 33 + 18n

Solving
20 + 8n = 33 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
20 + 8n + -18n = 33 + 18n + -18n

Combine like terms: 8n + -18n = -10n
20 + -10n = 33 + 18n + -18n

Combine like terms: 18n + -18n = 0
20 + -10n = 33 + 0
20 + -10n = 33

Add '-20' to each side of the equation.
20 + -20 + -10n = 33 + -20

Combine like terms: 20 + -20 = 0
0 + -10n = 33 + -20
-10n = 33 + -20

Combine like terms: 33 + -20 = 13
-10n = 13

Divide each side by '-10'.
n = -1.3

Simplifying
n = -1.3

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