1.5n+4n=3.5(n-4)

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Solution for 1.5n+4n=3.5(n-4) equation:


Simplifying
1.5n + 4n = 3.5(n + -4)

Combine like terms: 1.5n + 4n = 5.5n
5.5n = 3.5(n + -4)

Reorder the terms:
5.5n = 3.5(-4 + n)
5.5n = (-4 * 3.5 + n * 3.5)
5.5n = (-14 + 3.5n)

Solving
5.5n = -14 + 3.5n

Solving for variable 'n'.

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

Add '-3.5n' to each side of the equation.
5.5n + -3.5n = -14 + 3.5n + -3.5n

Combine like terms: 5.5n + -3.5n = 2n
2n = -14 + 3.5n + -3.5n

Combine like terms: 3.5n + -3.5n = 0.0
2n = -14 + 0.0
2n = -14

Divide each side by '2'.
n = -7

Simplifying
n = -7

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