-8-9(2n+6)=8(n-2)+3

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Solution for -8-9(2n+6)=8(n-2)+3 equation:


Simplifying
-8 + -9(2n + 6) = 8(n + -2) + 3

Reorder the terms:
-8 + -9(6 + 2n) = 8(n + -2) + 3
-8 + (6 * -9 + 2n * -9) = 8(n + -2) + 3
-8 + (-54 + -18n) = 8(n + -2) + 3

Combine like terms: -8 + -54 = -62
-62 + -18n = 8(n + -2) + 3

Reorder the terms:
-62 + -18n = 8(-2 + n) + 3
-62 + -18n = (-2 * 8 + n * 8) + 3
-62 + -18n = (-16 + 8n) + 3

Reorder the terms:
-62 + -18n = -16 + 3 + 8n

Combine like terms: -16 + 3 = -13
-62 + -18n = -13 + 8n

Solving
-62 + -18n = -13 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-62 + -18n + -8n = -13 + 8n + -8n

Combine like terms: -18n + -8n = -26n
-62 + -26n = -13 + 8n + -8n

Combine like terms: 8n + -8n = 0
-62 + -26n = -13 + 0
-62 + -26n = -13

Add '62' to each side of the equation.
-62 + 62 + -26n = -13 + 62

Combine like terms: -62 + 62 = 0
0 + -26n = -13 + 62
-26n = -13 + 62

Combine like terms: -13 + 62 = 49
-26n = 49

Divide each side by '-26'.
n = -1.884615385

Simplifying
n = -1.884615385

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