4-10(3n-2)=-6(n+8)+6

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Solution for 4-10(3n-2)=-6(n+8)+6 equation:


Simplifying
4 + -10(3n + -2) = -6(n + 8) + 6

Reorder the terms:
4 + -10(-2 + 3n) = -6(n + 8) + 6
4 + (-2 * -10 + 3n * -10) = -6(n + 8) + 6
4 + (20 + -30n) = -6(n + 8) + 6

Combine like terms: 4 + 20 = 24
24 + -30n = -6(n + 8) + 6

Reorder the terms:
24 + -30n = -6(8 + n) + 6
24 + -30n = (8 * -6 + n * -6) + 6
24 + -30n = (-48 + -6n) + 6

Reorder the terms:
24 + -30n = -48 + 6 + -6n

Combine like terms: -48 + 6 = -42
24 + -30n = -42 + -6n

Solving
24 + -30n = -42 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
24 + -30n + 6n = -42 + -6n + 6n

Combine like terms: -30n + 6n = -24n
24 + -24n = -42 + -6n + 6n

Combine like terms: -6n + 6n = 0
24 + -24n = -42 + 0
24 + -24n = -42

Add '-24' to each side of the equation.
24 + -24 + -24n = -42 + -24

Combine like terms: 24 + -24 = 0
0 + -24n = -42 + -24
-24n = -42 + -24

Combine like terms: -42 + -24 = -66
-24n = -66

Divide each side by '-24'.
n = 2.75

Simplifying
n = 2.75

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