2(14-n)=5n-7

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Solution for 2(14-n)=5n-7 equation:


Simplifying
2(14 + -1n) = 5n + -7
(14 * 2 + -1n * 2) = 5n + -7
(28 + -2n) = 5n + -7

Reorder the terms:
28 + -2n = -7 + 5n

Solving
28 + -2n = -7 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
28 + -2n + -5n = -7 + 5n + -5n

Combine like terms: -2n + -5n = -7n
28 + -7n = -7 + 5n + -5n

Combine like terms: 5n + -5n = 0
28 + -7n = -7 + 0
28 + -7n = -7

Add '-28' to each side of the equation.
28 + -28 + -7n = -7 + -28

Combine like terms: 28 + -28 = 0
0 + -7n = -7 + -28
-7n = -7 + -28

Combine like terms: -7 + -28 = -35
-7n = -35

Divide each side by '-7'.
n = 5

Simplifying
n = 5

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