7.65=2.25+0.20(n-1)

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Solution for 7.65=2.25+0.20(n-1) equation: 


Simplifying
7.65 = 2.25 + 0.20(n + -1)

Reorder the terms:
7.65 = 2.25 + 0.20(-1 + n)
7.65 = 2.25 + (-1 * 0.20 + n * 0.20)
7.65 = 2.25 + (-0.2 + 0.20n)

Combine like terms: 2.25 + -0.2 = 2.05
7.65 = 2.05 + 0.20n

Solving
7.65 = 2.05 + 0.20n

Solving for variable 'n'.

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

Add '-0.20n' to each side of the equation.
7.65 + -0.20n = 2.05 + 0.20n + -0.20n

Combine like terms: 0.20n + -0.20n = 0.00
7.65 + -0.20n = 2.05 + 0.00
7.65 + -0.20n = 2.05

Add '-7.65' to each side of the equation.
7.65 + -7.65 + -0.20n = 2.05 + -7.65

Combine like terms: 7.65 + -7.65 = 0.00
0.00 + -0.20n = 2.05 + -7.65
-0.20n = 2.05 + -7.65

Combine like terms: 2.05 + -7.65 = -5.6
-0.20n = -5.6

Divide each side by '-0.20'.
n = 28

Simplifying
n = 28

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