# How do you solve the volume formula R = 8k + d, for d ?

Jun 11, 2018

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$d = R - 8 K$

#### Explanation:

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We are given the formula : color(red)(R=8k+d

We are asked to make $\textcolor{red}{d}$ as the subject.

Consider $R = 8 k + d$

Subtract color(blue)(d from both sides of the equation.

color(red)(R-color(blue)(d)=8k+d-color(blue)(d)

color(red)(R-color(blue)(d)=8k+cancel d-color(blue)(cancel d)

$R - d = 8 k$

Subtract color(blue)(R from both sides of the equation.

R-d-color(blue)(R)=8k-color(blue)(R

cancel R-d-color(blue)(cancel R)=8k-color(blue)(R

$- d = 8 k - R$

Multiply both sides of the equation by color(blue)((-1)

color(blue)((-1)-d=(-1)[8k-R]

$d = - 8 k + R$

$\mathmr{and}$

$d = R - 8 K$