Solve -7=-15/5,5*2,5+b

$$- 7 = - \frac { 15 } { 5,5 } \cdot 2,5 + b$$

Solve for b

$$b=-\frac{2}{11}\approx -0,181818182$$

Steps for Solving Linear Equation

Expand \frac{15}{5,5} by multiplying both numerator and the denominator by 10.

$$-7=\left(-\frac{150}{55}\right)\times 2,5+b$$

Reduce the fraction \frac{150}{55} to lowest terms by extracting and canceling out 5.

$$-7=-\frac{30}{11}\times 2,5+b$$

Convert decimal number 2,5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$-7=-\frac{30}{11}\times \frac{5}{2}+b$$

Multiply -\frac{30}{11} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$-7=\frac{-30\times 5}{11\times 2}+b$$

Do the multiplications in the fraction \frac{-30\times 5}{11\times 2}.

$$-7=\frac{-150}{22}+b$$

Reduce the fraction \frac{-150}{22} to lowest terms by extracting and canceling out 2.

$$-7=-\frac{75}{11}+b$$

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

$$-\frac{75}{11}+b=-7$$

Add \frac{75}{11} to both sides.

$$b=-7+\frac{75}{11}$$

Convert -7 to fraction -\frac{77}{11}.

$$b=-\frac{77}{11}+\frac{75}{11}$$

Since -\frac{77}{11} and \frac{75}{11} have the same denominator, add them by adding their numerators.

$$b=\frac{-77+75}{11}$$

Add -77 and 75 to get -2.

$$b=-\frac{2}{11}$$