4(n-7)-2(n+3)=15n

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Solution for 4(n-7)-2(n+3)=15n equation:


Simplifying
4(n + -7) + -2(n + 3) = 15n

Reorder the terms:
4(-7 + n) + -2(n + 3) = 15n
(-7 * 4 + n * 4) + -2(n + 3) = 15n
(-28 + 4n) + -2(n + 3) = 15n

Reorder the terms:
-28 + 4n + -2(3 + n) = 15n
-28 + 4n + (3 * -2 + n * -2) = 15n
-28 + 4n + (-6 + -2n) = 15n

Reorder the terms:
-28 + -6 + 4n + -2n = 15n

Combine like terms: -28 + -6 = -34
-34 + 4n + -2n = 15n

Combine like terms: 4n + -2n = 2n
-34 + 2n = 15n

Solving
-34 + 2n = 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
-34 + 2n + -15n = 15n + -15n

Combine like terms: 2n + -15n = -13n
-34 + -13n = 15n + -15n

Combine like terms: 15n + -15n = 0
-34 + -13n = 0

Add '34' to each side of the equation.
-34 + 34 + -13n = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -13n = 0 + 34
-13n = 0 + 34

Combine like terms: 0 + 34 = 34
-13n = 34

Divide each side by '-13'.
n = -2.615384615

Simplifying
n = -2.615384615

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