-6(n+8)=8(-5n-4)

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Solution for -6(n+8)=8(-5n-4) equation:


Simplifying
-6(n + 8) = 8(-5n + -4)

Reorder the terms:
-6(8 + n) = 8(-5n + -4)
(8 * -6 + n * -6) = 8(-5n + -4)
(-48 + -6n) = 8(-5n + -4)

Reorder the terms:
-48 + -6n = 8(-4 + -5n)
-48 + -6n = (-4 * 8 + -5n * 8)
-48 + -6n = (-32 + -40n)

Solving
-48 + -6n = -32 + -40n

Solving for variable 'n'.

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

Add '40n' to each side of the equation.
-48 + -6n + 40n = -32 + -40n + 40n

Combine like terms: -6n + 40n = 34n
-48 + 34n = -32 + -40n + 40n

Combine like terms: -40n + 40n = 0
-48 + 34n = -32 + 0
-48 + 34n = -32

Add '48' to each side of the equation.
-48 + 48 + 34n = -32 + 48

Combine like terms: -48 + 48 = 0
0 + 34n = -32 + 48
34n = -32 + 48

Combine like terms: -32 + 48 = 16
34n = 16

Divide each side by '34'.
n = 0.4705882353

Simplifying
n = 0.4705882353

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