2(n-7)=6(n-3)

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Solution for 2(n-7)=6(n-3) equation:


Simplifying
2(n + -7) = 6(n + -3)

Reorder the terms:
2(-7 + n) = 6(n + -3)
(-7 * 2 + n * 2) = 6(n + -3)
(-14 + 2n) = 6(n + -3)

Reorder the terms:
-14 + 2n = 6(-3 + n)
-14 + 2n = (-3 * 6 + n * 6)
-14 + 2n = (-18 + 6n)

Solving
-14 + 2n = -18 + 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.
-14 + 2n + -6n = -18 + 6n + -6n

Combine like terms: 2n + -6n = -4n
-14 + -4n = -18 + 6n + -6n

Combine like terms: 6n + -6n = 0
-14 + -4n = -18 + 0
-14 + -4n = -18

Add '14' to each side of the equation.
-14 + 14 + -4n = -18 + 14

Combine like terms: -14 + 14 = 0
0 + -4n = -18 + 14
-4n = -18 + 14

Combine like terms: -18 + 14 = -4
-4n = -4

Divide each side by '-4'.
n = 1

Simplifying
n = 1

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