Question

2.09 - solve linear equations with decimals
due sunday by 11:59pm points 100 submitting an external tool available sep 8 at 12am -
first up, lets review the assignments learning objectives
get familiar with this topic by reviewing instruction and answering a couple of questions.
question
solve -0.2(n - 8) = 1.31n + 4.62
provide your answer below.
n = □

Explanation:

Step1: Expand the left - hand side

Use the distributive property \(a(b - c)=ab - ac\). So, \(-0.2(n - 8)=-0.2n+1.6\). The equation becomes \(-0.2n + 1.6=1.31n+4.62\).

Step2: Move the variable terms to one side

Add \(0.2n\) to both sides of the equation: \(-0.2n+0.2n + 1.6=1.31n+0.2n+4.62\), which simplifies to \(1.6 = 1.51n+4.62\).

Step3: Move the constant terms to one side

Subtract \(4.62\) from both sides: \(1.6-4.62=1.51n+4.62 - 4.62\), resulting in \(-3.02 = 1.51n\).

Step4: Solve for \(n\)

Divide both sides by \(1.51\): \(n=\frac{-3.02}{1.51}=- 2\).

Answer:

\(n=-2\)