3(n-5)=4n-2(n+7)

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Solution for 3(n-5)=4n-2(n+7) equation:


Simplifying
3(n + -5) = 4n + -2(n + 7)

Reorder the terms:
3(-5 + n) = 4n + -2(n + 7)
(-5 * 3 + n * 3) = 4n + -2(n + 7)
(-15 + 3n) = 4n + -2(n + 7)

Reorder the terms:
-15 + 3n = 4n + -2(7 + n)
-15 + 3n = 4n + (7 * -2 + n * -2)
-15 + 3n = 4n + (-14 + -2n)

Reorder the terms:
-15 + 3n = -14 + 4n + -2n

Combine like terms: 4n + -2n = 2n
-15 + 3n = -14 + 2n

Solving
-15 + 3n = -14 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-15 + 3n + -2n = -14 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-15 + 1n = -14 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 1n = -14 + 0
-15 + 1n = -14

Add '15' to each side of the equation.
-15 + 15 + 1n = -14 + 15

Combine like terms: -15 + 15 = 0
0 + 1n = -14 + 15
1n = -14 + 15

Combine like terms: -14 + 15 = 1
1n = 1

Divide each side by '1'.
n = 1

Simplifying
n = 1

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