5(n+2)=.6(5n+10)

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Solution for 5(n+2)=.6(5n+10) equation:


Simplifying
5(n + 2) = 0.6(5n + 10)

Reorder the terms:
5(2 + n) = 0.6(5n + 10)
(2 * 5 + n * 5) = 0.6(5n + 10)
(10 + 5n) = 0.6(5n + 10)

Reorder the terms:
10 + 5n = 0.6(10 + 5n)
10 + 5n = (10 * 0.6 + 5n * 0.6)
10 + 5n = (6 + 3n)

Solving
10 + 5n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
10 + 5n + -3n = 6 + 3n + -3n

Combine like terms: 5n + -3n = 2n
10 + 2n = 6 + 3n + -3n

Combine like terms: 3n + -3n = 0
10 + 2n = 6 + 0
10 + 2n = 6

Add '-10' to each side of the equation.
10 + -10 + 2n = 6 + -10

Combine like terms: 10 + -10 = 0
0 + 2n = 6 + -10
2n = 6 + -10

Combine like terms: 6 + -10 = -4
2n = -4

Divide each side by '2'.
n = -2

Simplifying
n = -2

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