Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 27, 2023

Solve the linear equation $92=-4(2r-5)$ for the variable $r$ .

STEP 1

Assumptions1. The equation is $92=-4( r-5)$ . We are solving for the variable $r$

STEP 2

First, we need to distribute the $-4$ to both terms inside the parentheses.
$92 = -4 \cdot2r + -4 \cdot -5$

STEP 3

Now, simplify the equation.
$92 = -8r +20$

STEP 4

Next, subtract $20$ from both sides of the equation to isolate the term with $r$ on one side.
$92 -20 = -8r +20 -20$

STEP 5

implify the equation.
$72 = -8r$

STEP 6

Finally, divide both sides of the equation by $-8$ to solve for $r$ .
$\frac{72}{-8} = \frac{-8r}{-8}$

STEP 7

implify the equation to find the value of $r$ .
$r = -9$ So, the solution to the equation $92=-4(2 r-5)$ is $r = -9$ .

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