4(2n-3)=3(n-11)

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Solution for 4(2n-3)=3(n-11) equation:


Simplifying
4(2n + -3) = 3(n + -11)

Reorder the terms:
4(-3 + 2n) = 3(n + -11)
(-3 * 4 + 2n * 4) = 3(n + -11)
(-12 + 8n) = 3(n + -11)

Reorder the terms:
-12 + 8n = 3(-11 + n)
-12 + 8n = (-11 * 3 + n * 3)
-12 + 8n = (-33 + 3n)

Solving
-12 + 8n = -33 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-12 + 8n + -3n = -33 + 3n + -3n

Combine like terms: 8n + -3n = 5n
-12 + 5n = -33 + 3n + -3n

Combine like terms: 3n + -3n = 0
-12 + 5n = -33 + 0
-12 + 5n = -33

Add '12' to each side of the equation.
-12 + 12 + 5n = -33 + 12

Combine like terms: -12 + 12 = 0
0 + 5n = -33 + 12
5n = -33 + 12

Combine like terms: -33 + 12 = -21
5n = -21

Divide each side by '5'.
n = -4.2

Simplifying
n = -4.2

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