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Answe

(R,r)=(-2/5,10/3)

hope it helps.

Answer:

r = 3 1/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

  • [tex]2(r-4)=-4(r-2)+4[/tex]
  • [tex](2)(r) + (2)(-4) = (-4)(r) + (-4)(-2) + 4[/tex]
  • [tex]2r - 8 = -4r + 8 + 4[/tex]
  • [tex]2r - 8 = -4r + 12[/tex]

Step 2: Add 4r to both sides.

  • [tex]2r - 8 + 4r = -4r + 12 + 4r[/tex]
  • [tex]6r - 8 = 12[/tex]

Step 3: Add 8 to both sides.

  • [tex]6r - 8 + 8 = 12 + 8[/tex]
  • [tex]6r = 20[/tex]

Step 4: Divide both sides by 6.

  • [tex]\frac{6r}{6} = \frac{20}{6}[/tex]
  • [tex]r = \frac{10}{3}[/tex]
  • [tex]r = 3 \frac{1}{3}[/tex]