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

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


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

Reorder the terms:
-2 + -7n = n + 5(n + -3)

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

Reorder the terms:
-2 + -7n = -15 + n + 5n

Combine like terms: n + 5n = 6n
-2 + -7n = -15 + 6n

Solving
-2 + -7n = -15 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-2 + -7n + -6n = -15 + 6n + -6n

Combine like terms: -7n + -6n = -13n
-2 + -13n = -15 + 6n + -6n

Combine like terms: 6n + -6n = 0
-2 + -13n = -15 + 0
-2 + -13n = -15

Add '2' to each side of the equation.
-2 + 2 + -13n = -15 + 2

Combine like terms: -2 + 2 = 0
0 + -13n = -15 + 2
-13n = -15 + 2

Combine like terms: -15 + 2 = -13
-13n = -13

Divide each side by '-13'.
n = 1

Simplifying
n = 1

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