2(5n-3)-(n-2)=

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


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

Reorder the terms:
2(-3 + 5n) + -1(n + -2) = 0
(-3 * 2 + 5n * 2) + -1(n + -2) = 0
(-6 + 10n) + -1(n + -2) = 0

Reorder the terms:
-6 + 10n + -1(-2 + n) = 0
-6 + 10n + (-2 * -1 + n * -1) = 0
-6 + 10n + (2 + -1n) = 0

Reorder the terms:
-6 + 2 + 10n + -1n = 0

Combine like terms: -6 + 2 = -4
-4 + 10n + -1n = 0

Combine like terms: 10n + -1n = 9n
-4 + 9n = 0

Solving
-4 + 9n = 0

Solving for variable 'n'.

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

Add '4' to each side of the equation.
-4 + 4 + 9n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 9n = 0 + 4
9n = 0 + 4

Combine like terms: 0 + 4 = 4
9n = 4

Divide each side by '9'.
n = 0.4444444444

Simplifying
n = 0.4444444444

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