4n+24=-7(n-5)

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Solution for 4n+24=-7(n-5) equation:


Simplifying
4n + 24 = -7(n + -5)

Reorder the terms:
24 + 4n = -7(n + -5)

Reorder the terms:
24 + 4n = -7(-5 + n)
24 + 4n = (-5 * -7 + n * -7)
24 + 4n = (35 + -7n)

Solving
24 + 4n = 35 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
24 + 4n + 7n = 35 + -7n + 7n

Combine like terms: 4n + 7n = 11n
24 + 11n = 35 + -7n + 7n

Combine like terms: -7n + 7n = 0
24 + 11n = 35 + 0
24 + 11n = 35

Add '-24' to each side of the equation.
24 + -24 + 11n = 35 + -24

Combine like terms: 24 + -24 = 0
0 + 11n = 35 + -24
11n = 35 + -24

Combine like terms: 35 + -24 = 11
11n = 11

Divide each side by '11'.
n = 1

Simplifying
n = 1

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