n+18=7(n-21)

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Solution for n+18=7(n-21) equation:


Simplifying
n + 18 = 7(n + -21)

Reorder the terms:
18 + n = 7(n + -21)

Reorder the terms:
18 + n = 7(-21 + n)
18 + n = (-21 * 7 + n * 7)
18 + n = (-147 + 7n)

Solving
18 + n = -147 + 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.
18 + n + -7n = -147 + 7n + -7n

Combine like terms: n + -7n = -6n
18 + -6n = -147 + 7n + -7n

Combine like terms: 7n + -7n = 0
18 + -6n = -147 + 0
18 + -6n = -147

Add '-18' to each side of the equation.
18 + -18 + -6n = -147 + -18

Combine like terms: 18 + -18 = 0
0 + -6n = -147 + -18
-6n = -147 + -18

Combine like terms: -147 + -18 = -165
-6n = -165

Divide each side by '-6'.
n = 27.5

Simplifying
n = 27.5

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