.2n+.5=.67(n+3)

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Solution for .2n+.5=.67(n+3) equation:


Simplifying
0.2n + 0.5 = 0.67(n + 3)

Reorder the terms:
0.5 + 0.2n = 0.67(n + 3)

Reorder the terms:
0.5 + 0.2n = 0.67(3 + n)
0.5 + 0.2n = (3 * 0.67 + n * 0.67)
0.5 + 0.2n = (2.01 + 0.67n)

Solving
0.5 + 0.2n = 2.01 + 0.67n

Solving for variable 'n'.

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

Add '-0.67n' to each side of the equation.
0.5 + 0.2n + -0.67n = 2.01 + 0.67n + -0.67n

Combine like terms: 0.2n + -0.67n = -0.47n
0.5 + -0.47n = 2.01 + 0.67n + -0.67n

Combine like terms: 0.67n + -0.67n = 0.00
0.5 + -0.47n = 2.01 + 0.00
0.5 + -0.47n = 2.01

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -0.47n = 2.01 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.47n = 2.01 + -0.5
-0.47n = 2.01 + -0.5

Combine like terms: 2.01 + -0.5 = 1.51
-0.47n = 1.51

Divide each side by '-0.47'.
n = -3.212765957

Simplifying
n = -3.212765957

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