Solve 41.7=-0.95*42/0.3*2.5+b

$$41.7 = - 0.95 \cdot \frac { 42 } { 0.3 } \cdot 2.5 + b$$

Solve for b

$$b=374.2$$

Steps for Solving Linear Equation

Expand \frac{42}{0.3} by multiplying both numerator and the denominator by 10.

$$41.7=-0.95\times \frac{420}{3}\times 2.5+b$$

Divide 420 by 3 to get 140.

$$41.7=-0.95\times 140\times 2.5+b$$

Multiply -0.95 and 140 to get -133.

$$41.7=-133\times 2.5+b$$

Multiply -133 and 2.5 to get -332.5.

$$41.7=-332.5+b$$

Swap sides so that all variable terms are on the left hand side.

$$-332.5+b=41.7$$

Add 332.5 to both sides.

$$b=41.7+332.5$$

Add 41.7 and 332.5 to get 374.2.

$$b=374.2$$