5(3n-8)=-3-4(8-5n)

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Solution for 5(3n-8)=-3-4(8-5n) equation:


Simplifying
5(3n + -8) = -3 + -4(8 + -5n)

Reorder the terms:
5(-8 + 3n) = -3 + -4(8 + -5n)
(-8 * 5 + 3n * 5) = -3 + -4(8 + -5n)
(-40 + 15n) = -3 + -4(8 + -5n)
-40 + 15n = -3 + (8 * -4 + -5n * -4)
-40 + 15n = -3 + (-32 + 20n)

Combine like terms: -3 + -32 = -35
-40 + 15n = -35 + 20n

Solving
-40 + 15n = -35 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-40 + 15n + -20n = -35 + 20n + -20n

Combine like terms: 15n + -20n = -5n
-40 + -5n = -35 + 20n + -20n

Combine like terms: 20n + -20n = 0
-40 + -5n = -35 + 0
-40 + -5n = -35

Add '40' to each side of the equation.
-40 + 40 + -5n = -35 + 40

Combine like terms: -40 + 40 = 0
0 + -5n = -35 + 40
-5n = -35 + 40

Combine like terms: -35 + 40 = 5
-5n = 5

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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