.3n-1.5=.4-(.2n-1.4)

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Solution for .3n-1.5=.4-(.2n-1.4) equation:


Simplifying
0.3n + -1.5 = 0.4 + -1(0.2n + -1.4)

Reorder the terms:
-1.5 + 0.3n = 0.4 + -1(0.2n + -1.4)

Reorder the terms:
-1.5 + 0.3n = 0.4 + -1(-1.4 + 0.2n)
-1.5 + 0.3n = 0.4 + (-1.4 * -1 + 0.2n * -1)
-1.5 + 0.3n = 0.4 + (1.4 + -0.2n)

Combine like terms: 0.4 + 1.4 = 1.8
-1.5 + 0.3n = 1.8 + -0.2n

Solving
-1.5 + 0.3n = 1.8 + -0.2n

Solving for variable 'n'.

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

Add '0.2n' to each side of the equation.
-1.5 + 0.3n + 0.2n = 1.8 + -0.2n + 0.2n

Combine like terms: 0.3n + 0.2n = 0.5n
-1.5 + 0.5n = 1.8 + -0.2n + 0.2n

Combine like terms: -0.2n + 0.2n = 0.0
-1.5 + 0.5n = 1.8 + 0.0
-1.5 + 0.5n = 1.8

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 0.5n = 1.8 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 0.5n = 1.8 + 1.5
0.5n = 1.8 + 1.5

Combine like terms: 1.8 + 1.5 = 3.3
0.5n = 3.3

Divide each side by '0.5'.
n = 6.6

Simplifying
n = 6.6

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