3(2n+5)=6(5n+7)+3

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Solution for 3(2n+5)=6(5n+7)+3 equation:


Simplifying
3(2n + 5) = 6(5n + 7) + 3

Reorder the terms:
3(5 + 2n) = 6(5n + 7) + 3
(5 * 3 + 2n * 3) = 6(5n + 7) + 3
(15 + 6n) = 6(5n + 7) + 3

Reorder the terms:
15 + 6n = 6(7 + 5n) + 3
15 + 6n = (7 * 6 + 5n * 6) + 3
15 + 6n = (42 + 30n) + 3

Reorder the terms:
15 + 6n = 42 + 3 + 30n

Combine like terms: 42 + 3 = 45
15 + 6n = 45 + 30n

Solving
15 + 6n = 45 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
15 + 6n + -30n = 45 + 30n + -30n

Combine like terms: 6n + -30n = -24n
15 + -24n = 45 + 30n + -30n

Combine like terms: 30n + -30n = 0
15 + -24n = 45 + 0
15 + -24n = 45

Add '-15' to each side of the equation.
15 + -15 + -24n = 45 + -15

Combine like terms: 15 + -15 = 0
0 + -24n = 45 + -15
-24n = 45 + -15

Combine like terms: 45 + -15 = 30
-24n = 30

Divide each side by '-24'.
n = -1.25

Simplifying
n = -1.25

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