-10p+3(8+8n)=-6(n-4)

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Solution for -10p+3(8+8n)=-6(n-4) equation:


Simplifying
-10p + 3(8 + 8n) = -6(n + -4)
-10p + (8 * 3 + 8n * 3) = -6(n + -4)
-10p + (24 + 24n) = -6(n + -4)

Reorder the terms:
24 + 24n + -10p = -6(n + -4)

Reorder the terms:
24 + 24n + -10p = -6(-4 + n)
24 + 24n + -10p = (-4 * -6 + n * -6)
24 + 24n + -10p = (24 + -6n)

Add '-24' to each side of the equation.
24 + 24n + -24 + -10p = 24 + -24 + -6n

Reorder the terms:
24 + -24 + 24n + -10p = 24 + -24 + -6n

Combine like terms: 24 + -24 = 0
0 + 24n + -10p = 24 + -24 + -6n
24n + -10p = 24 + -24 + -6n

Combine like terms: 24 + -24 = 0
24n + -10p = 0 + -6n
24n + -10p = -6n

Solving
24n + -10p = -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
24n + 6n + -10p = -6n + 6n

Combine like terms: 24n + 6n = 30n
30n + -10p = -6n + 6n

Combine like terms: -6n + 6n = 0
30n + -10p = 0

Add '10p' to each side of the equation.
30n + -10p + 10p = 0 + 10p

Combine like terms: -10p + 10p = 0
30n + 0 = 0 + 10p
30n = 0 + 10p
Remove the zero:
30n = 10p

Divide each side by '30'.
n = 0.3333333333p

Simplifying
n = 0.3333333333p

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