4.78=.58*3m+.15

Solution for 4.78=.58*3m+.15 equation:

Simplifying
4.78 = 0.58 * 3m + 0.15

Multiply 0.58 * 3
4.78 = 1.74m + 0.15

Reorder the terms:
4.78 = 0.15 + 1.74m

Solving
4.78 = 0.15 + 1.74m

Solving for variable 'm'.

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

Add '-1.74m' to each side of the equation.
4.78 + -1.74m = 0.15 + 1.74m + -1.74m

Combine like terms: 1.74m + -1.74m = 0.00
4.78 + -1.74m = 0.15 + 0.00
4.78 + -1.74m = 0.15

Add '-4.78' to each side of the equation.
4.78 + -4.78 + -1.74m = 0.15 + -4.78

Combine like terms: 4.78 + -4.78 = 0.00
0.00 + -1.74m = 0.15 + -4.78
-1.74m = 0.15 + -4.78

Combine like terms: 0.15 + -4.78 = -4.63
-1.74m = -4.63

Divide each side by '-1.74'.
m = 2.66091954

Simplifying
m = 2.66091954