5(n+3)=3*1-2n

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Solution for 5(n+3)=3*1-2n equation:


Simplifying
5(n + 3) = 3 * 1 + -2n

Reorder the terms:
5(3 + n) = 3 * 1 + -2n
(3 * 5 + n * 5) = 3 * 1 + -2n
(15 + 5n) = 3 * 1 + -2n

Multiply 3 * 1
15 + 5n = 3 + -2n

Solving
15 + 5n = 3 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
15 + 5n + 2n = 3 + -2n + 2n

Combine like terms: 5n + 2n = 7n
15 + 7n = 3 + -2n + 2n

Combine like terms: -2n + 2n = 0
15 + 7n = 3 + 0
15 + 7n = 3

Add '-15' to each side of the equation.
15 + -15 + 7n = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 7n = 3 + -15
7n = 3 + -15

Combine like terms: 3 + -15 = -12
7n = -12

Divide each side by '7'.
n = -1.714285714

Simplifying
n = -1.714285714

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