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

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


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

Reorder the terms:
-3(5 + 4n) = -5(n + -3) + -1
(5 * -3 + 4n * -3) = -5(n + -3) + -1
(-15 + -12n) = -5(n + -3) + -1

Reorder the terms:
-15 + -12n = -5(-3 + n) + -1
-15 + -12n = (-3 * -5 + n * -5) + -1
-15 + -12n = (15 + -5n) + -1

Reorder the terms:
-15 + -12n = 15 + -1 + -5n

Combine like terms: 15 + -1 = 14
-15 + -12n = 14 + -5n

Solving
-15 + -12n = 14 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-15 + -12n + 5n = 14 + -5n + 5n

Combine like terms: -12n + 5n = -7n
-15 + -7n = 14 + -5n + 5n

Combine like terms: -5n + 5n = 0
-15 + -7n = 14 + 0
-15 + -7n = 14

Add '15' to each side of the equation.
-15 + 15 + -7n = 14 + 15

Combine like terms: -15 + 15 = 0
0 + -7n = 14 + 15
-7n = 14 + 15

Combine like terms: 14 + 15 = 29
-7n = 29

Divide each side by '-7'.
n = -4.142857143

Simplifying
n = -4.142857143

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