n-2.5n-1.9=-2(n-1.3)

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Solution for n-2.5n-1.9=-2(n-1.3) equation:


Simplifying
n + -2.5n + -1.9 = -2(n + -1.3)

Reorder the terms:
-1.9 + n + -2.5n = -2(n + -1.3)

Combine like terms: n + -2.5n = -1.5n
-1.9 + -1.5n = -2(n + -1.3)

Reorder the terms:
-1.9 + -1.5n = -2(-1.3 + n)
-1.9 + -1.5n = (-1.3 * -2 + n * -2)
-1.9 + -1.5n = (2.6 + -2n)

Solving
-1.9 + -1.5n = 2.6 + -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.
-1.9 + -1.5n + 2n = 2.6 + -2n + 2n

Combine like terms: -1.5n + 2n = 0.5n
-1.9 + 0.5n = 2.6 + -2n + 2n

Combine like terms: -2n + 2n = 0
-1.9 + 0.5n = 2.6 + 0
-1.9 + 0.5n = 2.6

Add '1.9' to each side of the equation.
-1.9 + 1.9 + 0.5n = 2.6 + 1.9

Combine like terms: -1.9 + 1.9 = 0.0
0.0 + 0.5n = 2.6 + 1.9
0.5n = 2.6 + 1.9

Combine like terms: 2.6 + 1.9 = 4.5
0.5n = 4.5

Divide each side by '0.5'.
n = 9

Simplifying
n = 9

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