7.65=2.25+.2(m-1)

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Solution for 7.65=2.25+.2(m-1) equation:


Simplifying
7.65 = 2.25 + 0.2(m + -1)

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

Combine like terms: 2.25 + -0.2 = 2.05
7.65 = 2.05 + 0.2m

Solving
7.65 = 2.05 + 0.2m

Solving for variable 'm'.

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

Add '-0.2m' to each side of the equation.
7.65 + -0.2m = 2.05 + 0.2m + -0.2m

Combine like terms: 0.2m + -0.2m = 0.0
7.65 + -0.2m = 2.05 + 0.0
7.65 + -0.2m = 2.05

Add '-7.65' to each side of the equation.
7.65 + -7.65 + -0.2m = 2.05 + -7.65

Combine like terms: 7.65 + -7.65 = 0.00
0.00 + -0.2m = 2.05 + -7.65
-0.2m = 2.05 + -7.65

Combine like terms: 2.05 + -7.65 = -5.6
-0.2m = -5.6

Divide each side by '-0.2'.
m = 28

Simplifying
m = 28

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