12.23+0.13(n+3)=12.98+-0.08n

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Solution for 12.23+0.13(n+3)=12.98+-0.08n equation: 


Simplifying
12.23 + 0.13(n + 3) = 12.98 + -0.08n

Reorder the terms:
12.23 + 0.13(3 + n) = 12.98 + -0.08n
12.23 + (3 * 0.13 + n * 0.13) = 12.98 + -0.08n
12.23 + (0.39 + 0.13n) = 12.98 + -0.08n

Combine like terms: 12.23 + 0.39 = 12.62
12.62 + 0.13n = 12.98 + -0.08n

Solving
12.62 + 0.13n = 12.98 + -0.08n

Solving for variable 'n'.

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

Add '0.08n' to each side of the equation.
12.62 + 0.13n + 0.08n = 12.98 + -0.08n + 0.08n

Combine like terms: 0.13n + 0.08n = 0.21n
12.62 + 0.21n = 12.98 + -0.08n + 0.08n

Combine like terms: -0.08n + 0.08n = 0.00
12.62 + 0.21n = 12.98 + 0.00
12.62 + 0.21n = 12.98

Add '-12.62' to each side of the equation.
12.62 + -12.62 + 0.21n = 12.98 + -12.62

Combine like terms: 12.62 + -12.62 = 0.00
0.00 + 0.21n = 12.98 + -12.62
0.21n = 12.98 + -12.62

Combine like terms: 12.98 + -12.62 = 0.36
0.21n = 0.36

Divide each side by '0.21'.
n = 1.714285714

Simplifying
n = 1.714285714

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