-42=-6(-3n+6)+6(n-3)

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Solution for -42=-6(-3n+6)+6(n-3) equation:


Simplifying
-42 = -6(-3n + 6) + 6(n + -3)

Reorder the terms:
-42 = -6(6 + -3n) + 6(n + -3)
-42 = (6 * -6 + -3n * -6) + 6(n + -3)
-42 = (-36 + 18n) + 6(n + -3)

Reorder the terms:
-42 = -36 + 18n + 6(-3 + n)
-42 = -36 + 18n + (-3 * 6 + n * 6)
-42 = -36 + 18n + (-18 + 6n)

Reorder the terms:
-42 = -36 + -18 + 18n + 6n

Combine like terms: -36 + -18 = -54
-42 = -54 + 18n + 6n

Combine like terms: 18n + 6n = 24n
-42 = -54 + 24n

Solving
-42 = -54 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
-42 + -24n = -54 + 24n + -24n

Combine like terms: 24n + -24n = 0
-42 + -24n = -54 + 0
-42 + -24n = -54

Add '42' to each side of the equation.
-42 + 42 + -24n = -54 + 42

Combine like terms: -42 + 42 = 0
0 + -24n = -54 + 42
-24n = -54 + 42

Combine like terms: -54 + 42 = -12
-24n = -12

Divide each side by '-24'.
n = 0.5

Simplifying
n = 0.5

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