4(n-5)+5(-3n-2)=47

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Solution for 4(n-5)+5(-3n-2)=47 equation:


Simplifying
4(n + -5) + 5(-3n + -2) = 47

Reorder the terms:
4(-5 + n) + 5(-3n + -2) = 47
(-5 * 4 + n * 4) + 5(-3n + -2) = 47
(-20 + 4n) + 5(-3n + -2) = 47

Reorder the terms:
-20 + 4n + 5(-2 + -3n) = 47
-20 + 4n + (-2 * 5 + -3n * 5) = 47
-20 + 4n + (-10 + -15n) = 47

Reorder the terms:
-20 + -10 + 4n + -15n = 47

Combine like terms: -20 + -10 = -30
-30 + 4n + -15n = 47

Combine like terms: 4n + -15n = -11n
-30 + -11n = 47

Solving
-30 + -11n = 47

Solving for variable 'n'.

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

Add '30' to each side of the equation.
-30 + 30 + -11n = 47 + 30

Combine like terms: -30 + 30 = 0
0 + -11n = 47 + 30
-11n = 47 + 30

Combine like terms: 47 + 30 = 77
-11n = 77

Divide each side by '-11'.
n = -7

Simplifying
n = -7

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