2(n-5)=7(n+8)

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Solution for 2(n-5)=7(n+8) equation:


Simplifying
2(n + -5) = 7(n + 8)

Reorder the terms:
2(-5 + n) = 7(n + 8)
(-5 * 2 + n * 2) = 7(n + 8)
(-10 + 2n) = 7(n + 8)

Reorder the terms:
-10 + 2n = 7(8 + n)
-10 + 2n = (8 * 7 + n * 7)
-10 + 2n = (56 + 7n)

Solving
-10 + 2n = 56 + 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.
-10 + 2n + -7n = 56 + 7n + -7n

Combine like terms: 2n + -7n = -5n
-10 + -5n = 56 + 7n + -7n

Combine like terms: 7n + -7n = 0
-10 + -5n = 56 + 0
-10 + -5n = 56

Add '10' to each side of the equation.
-10 + 10 + -5n = 56 + 10

Combine like terms: -10 + 10 = 0
0 + -5n = 56 + 10
-5n = 56 + 10

Combine like terms: 56 + 10 = 66
-5n = 66

Divide each side by '-5'.
n = -13.2

Simplifying
n = -13.2

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