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 = 22
22 + 4n + -2n = -15n

Combine like terms: 4n + -2n = 2n
22 + 2n = -15n

Solving
22 + 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.
22 + 2n + 15n = -15n + 15n

Combine like terms: 2n + 15n = 17n
22 + 17n = -15n + 15n

Combine like terms: -15n + 15n = 0
22 + 17n = 0

Add '-22' to each side of the equation.
22 + -22 + 17n = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 17n = 0 + -22
17n = 0 + -22

Combine like terms: 0 + -22 = -22
17n = -22

Divide each side by '17'.
n = -1.294117647

Simplifying
n = -1.294117647

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