-2+8(n-3)=2(-9n-5)+7

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Solution for -2+8(n-3)=2(-9n-5)+7 equation:


Simplifying
-2 + 8(n + -3) = 2(-9n + -5) + 7

Reorder the terms:
-2 + 8(-3 + n) = 2(-9n + -5) + 7
-2 + (-3 * 8 + n * 8) = 2(-9n + -5) + 7
-2 + (-24 + 8n) = 2(-9n + -5) + 7

Combine like terms: -2 + -24 = -26
-26 + 8n = 2(-9n + -5) + 7

Reorder the terms:
-26 + 8n = 2(-5 + -9n) + 7
-26 + 8n = (-5 * 2 + -9n * 2) + 7
-26 + 8n = (-10 + -18n) + 7

Reorder the terms:
-26 + 8n = -10 + 7 + -18n

Combine like terms: -10 + 7 = -3
-26 + 8n = -3 + -18n

Solving
-26 + 8n = -3 + -18n

Solving for variable 'n'.

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

Add '18n' to each side of the equation.
-26 + 8n + 18n = -3 + -18n + 18n

Combine like terms: 8n + 18n = 26n
-26 + 26n = -3 + -18n + 18n

Combine like terms: -18n + 18n = 0
-26 + 26n = -3 + 0
-26 + 26n = -3

Add '26' to each side of the equation.
-26 + 26 + 26n = -3 + 26

Combine like terms: -26 + 26 = 0
0 + 26n = -3 + 26
26n = -3 + 26

Combine like terms: -3 + 26 = 23
26n = 23

Divide each side by '26'.
n = 0.8846153846

Simplifying
n = 0.8846153846

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