40(2.85)+m(3.33)=((m+40)+5)(2.85)

Solution for 40(2.85)+m(3.33)=((m+40)+5)(2.85) equation:

Simplifying
40(2.85) + m(3.33) = ((m + 40) + 5)(2.85)

Multiply 40 * 2.85
114 + m(3.33) = ((m + 40) + 5)(2.85)

Reorder the terms for easier multiplication:
114 + 3.33m = ((m + 40) + 5)(2.85)

Reorder the terms:
114 + 3.33m = ((40 + m) + 5)(2.85)

Remove parenthesis around (40 + m)
114 + 3.33m = (40 + m + 5)(2.85)

Reorder the terms:
114 + 3.33m = (40 + 5 + m)(2.85)

Combine like terms: 40 + 5 = 45
114 + 3.33m = (45 + m)(2.85)

Reorder the terms for easier multiplication:
114 + 3.33m = 2.85(45 + m)
114 + 3.33m = (45 * 2.85 + m * 2.85)
114 + 3.33m = (128.25 + 2.85m)

Solving
114 + 3.33m = 128.25 + 2.85m

Solving for variable 'm'.

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

Add '-2.85m' to each side of the equation.
114 + 3.33m + -2.85m = 128.25 + 2.85m + -2.85m

Combine like terms: 3.33m + -2.85m = 0.48m
114 + 0.48m = 128.25 + 2.85m + -2.85m

Combine like terms: 2.85m + -2.85m = 0.00
114 + 0.48m = 128.25 + 0.00
114 + 0.48m = 128.25

Add '-114' to each side of the equation.
114 + -114 + 0.48m = 128.25 + -114

Combine like terms: 114 + -114 = 0
0 + 0.48m = 128.25 + -114
0.48m = 128.25 + -114

Combine like terms: 128.25 + -114 = 14.25
0.48m = 14.25

Divide each side by '0.48'.
m = 29.6875

Simplifying
m = 29.6875