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

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


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

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

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

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

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

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

Solving
-34 + 2n = -15

Solving for variable 'n'.

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

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

Combine like terms: -34 + 34 = 0
0 + 2n = -15 + 34
2n = -15 + 34

Combine like terms: -15 + 34 = 19
2n = 19

Divide each side by '2'.
n = 9.5

Simplifying
n = 9.5

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