0.130=0.055+1.58x(E(Rm)-0.055)

Solution for 0.130=0.055+1.58x(E(Rm)-0.055) equation:

Simplifying
0.130 = 0.055 + 1.58x(E(Rm) + -0.055)

Multiply E * mR
0.130 = 0.055 + 1.58x(mER + -0.055)

Reorder the terms:
0.130 = 0.055 + 1.58x(-0.055 + mER)
0.130 = 0.055 + (-0.055 * 1.58x + mER * 1.58x)

Reorder the terms:
0.130 = 0.055 + (1.58mxER + -0.0869x)
0.130 = 0.055 + (1.58mxER + -0.0869x)

Solving
0.130 = 0.055 + 1.58mxER + -0.0869x

Solving for variable 'm'.

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

Add '-1.58mxER' to each side of the equation.
0.130 + -1.58mxER = 0.055 + 1.58mxER + -1.58mxER + -0.0869x

Combine like terms: 1.58mxER + -1.58mxER = 0.00
0.130 + -1.58mxER = 0.055 + 0.00 + -0.0869x
0.130 + -1.58mxER = 0.055 + -0.0869x

Add '-0.130' to each side of the equation.
0.130 + -0.130 + -1.58mxER = 0.055 + -0.130 + -0.0869x

Combine like terms: 0.130 + -0.130 = 0.000
0.000 + -1.58mxER = 0.055 + -0.130 + -0.0869x
-1.58mxER = 0.055 + -0.130 + -0.0869x

Combine like terms: 0.055 + -0.130 = -0.075
-1.58mxER = -0.075 + -0.0869x

Divide each side by '-1.58xER'.
m = 0.04746835443x-1E-1R-1 + 0.055E-1R-1

Simplifying
m = 0.04746835443x-1E-1R-1 + 0.055E-1R-1

Reorder the terms:
m = 0.055E-1R-1 + 0.04746835443x-1E-1R-1