solve for j.\n-16.6 = -4(17.2 - j) - 17\nj =

Explanation:

Step1: Simplify the right - hand side

First, expand (-4(17.2 - j)) using the distributive property (a(b - c)=ab - ac). Here (a=-4), (b = 17.2), (c = j), so (-4(17.2 - j)=-4\times17.2+4j=-68.8 + 4j). The equation becomes (-16.6=-68.8 + 4j-17). Combine like terms on the right - hand side: (-68.8-17=-85.8). So the equation is (-16.6=4j-85.8).

Step2: Isolate the term with (j)

Add (85.8) to both sides of the equation. Using the addition property of equality (a=b\Rightarrow a + c=b + c). (-16.6+85.8=4j-85.8 + 85.8). Calculate (-16.6+85.8): (85.8-16.6 = 69.2). So (69.2 = 4j).

Step3: Solve for (j)

Divide both sides of the equation by (4) using the division property of equality (a=b\Rightarrow\frac{a}{c}=\frac{b}{c}(c\neq0)). (j=\frac{69.2}{4}). Calculate (\frac{69.2}{4}=17.3).

Answer:

(17.3)