3(4n-1)+5(n-2)=

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Solution for 3(4n-1)+5(n-2)= equation:


Simplifying
3(4n + -1) + 5(n + -2) = 0

Reorder the terms:
3(-1 + 4n) + 5(n + -2) = 0
(-1 * 3 + 4n * 3) + 5(n + -2) = 0
(-3 + 12n) + 5(n + -2) = 0

Reorder the terms:
-3 + 12n + 5(-2 + n) = 0
-3 + 12n + (-2 * 5 + n * 5) = 0
-3 + 12n + (-10 + 5n) = 0

Reorder the terms:
-3 + -10 + 12n + 5n = 0

Combine like terms: -3 + -10 = -13
-13 + 12n + 5n = 0

Combine like terms: 12n + 5n = 17n
-13 + 17n = 0

Solving
-13 + 17n = 0

Solving for variable 'n'.

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

Add '13' to each side of the equation.
-13 + 13 + 17n = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 17n = 0 + 13
17n = 0 + 13

Combine like terms: 0 + 13 = 13
17n = 13

Divide each side by '17'.
n = 0.7647058824

Simplifying
n = 0.7647058824

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