4-5(n-3)=-2n+10

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Solution for 4-5(n-3)=-2n+10 equation:


Simplifying
4 + -5(n + -3) = -2n + 10

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

Combine like terms: 4 + 15 = 19
19 + -5n = -2n + 10

Reorder the terms:
19 + -5n = 10 + -2n

Solving
19 + -5n = 10 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
19 + -5n + 2n = 10 + -2n + 2n

Combine like terms: -5n + 2n = -3n
19 + -3n = 10 + -2n + 2n

Combine like terms: -2n + 2n = 0
19 + -3n = 10 + 0
19 + -3n = 10

Add '-19' to each side of the equation.
19 + -19 + -3n = 10 + -19

Combine like terms: 19 + -19 = 0
0 + -3n = 10 + -19
-3n = 10 + -19

Combine like terms: 10 + -19 = -9
-3n = -9

Divide each side by '-3'.
n = 3

Simplifying
n = 3

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