multi step eq crws 5 b pg 2\n11) ( 82 = 3 r - 2 ( 6 r - 5 ) )\n12) ( - 368 = 8 ( 6 b + 5 ) + 3 b )\n13) (…

multi step eq crws 5 b pg 2\n11) ( 82 = 3 r - 2 ( 6 r - 5 ) )\n12) ( - 368 = 8 ( 6 b + 5 ) + 3 b )\n13) ( - 4 ( 2 k + 1 ) - 2 k = - 84 )\n14) ( - 2 ( 7 x + 4 ) - 2 x = - 120 )\n15) ( 6 + 3 ( 1 + 7 n ) = 156 )\n16) ( 120 = - 4 + 4 ( 6 b + 1 ) )\n17) ( 128 = 8 ( 1 + 2 n ) - n )\n18) ( - 8 ( - 3 - 2 x ) = - 104 )\n19) ( 8 ( 1 - 5 n ) - 6 = - 238 )\n20) ( 5 ( 1 + 6 b ) + 4 = - 81 )

multi step eq crws 5 b pg 2\n11) ( 82 = 3 r - 2 ( 6 r - 5 ) )\n12) ( - 368 = 8 ( 6 b + 5 ) + 3 b )\n13) ( - 4 ( 2 k + 1 ) - 2 k = - 84 )\n14) ( - 2 ( 7 x + 4 ) - 2 x = - 120 )\n15) ( 6 + 3 ( 1 + 7 n ) = 156 )\n16) ( 120 = - 4 + 4 ( 6 b + 1 ) )\n17) ( 128 = 8 ( 1 + 2 n ) - n )\n18) ( - 8 ( - 3 - 2 x ) = - 104 )\n19) ( 8 ( 1 - 5 n ) - 6 = - 238 )\n20) ( 5 ( 1 + 6 b ) + 4 = - 81 )

Answer

Explanation:

Step1: Expand the equation

For (82 = 3r-2(6r - 5)), use the distributive property (a(b + c)=ab+ac). Here (a=-2), (b = 6r), (c=-5). So (82=3r-(12r - 10)), which simplifies to (82=3r-12r + 10).

Step2: Combine like - terms

Combine the (r) terms: (3r-12r=-9r). The equation becomes (82=-9r + 10).

Step3: Isolate the variable term

Subtract (10) from both sides. (82-10=-9r+10 - 10), so (72=-9r).

Step4: Solve for (r)

Divide both sides by (-9). (\frac{72}{-9}=\frac{-9r}{-9}), which gives (r=-8).

Answer:

(r=-8)