-1.9(n-18)=2.5(n+4)

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Solution for -1.9(n-18)=2.5(n+4) equation:


Simplifying
-1.9(n + -18) = 2.5(n + 4)

Reorder the terms:
-1.9(-18 + n) = 2.5(n + 4)
(-18 * -1.9 + n * -1.9) = 2.5(n + 4)
(34.2 + -1.9n) = 2.5(n + 4)

Reorder the terms:
34.2 + -1.9n = 2.5(4 + n)
34.2 + -1.9n = (4 * 2.5 + n * 2.5)
34.2 + -1.9n = (10 + 2.5n)

Solving
34.2 + -1.9n = 10 + 2.5n

Solving for variable 'n'.

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

Add '-2.5n' to each side of the equation.
34.2 + -1.9n + -2.5n = 10 + 2.5n + -2.5n

Combine like terms: -1.9n + -2.5n = -4.4n
34.2 + -4.4n = 10 + 2.5n + -2.5n

Combine like terms: 2.5n + -2.5n = 0.0
34.2 + -4.4n = 10 + 0.0
34.2 + -4.4n = 10

Add '-34.2' to each side of the equation.
34.2 + -34.2 + -4.4n = 10 + -34.2

Combine like terms: 34.2 + -34.2 = 0.0
0.0 + -4.4n = 10 + -34.2
-4.4n = 10 + -34.2

Combine like terms: 10 + -34.2 = -24.2
-4.4n = -24.2

Divide each side by '-4.4'.
n = 5.5

Simplifying
n = 5.5

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