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Simplifying -22 + -3r = 3r + -2(4r + 8) Reorder the terms: -22 + -3r = 3r + -2(8 + 4r) -22 + -3r = 3r + (8 * -2 + 4r * -2) -22 + -3r = 3r + (-16 + -8r) Reorder the terms: -22 + -3r = -16 + 3r + -8r Combine like terms: 3r + -8r = -5r -22 + -3r = -16 + -5r Solving -22 + -3r = -16 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -22 + -3r + 5r = -16 + -5r + 5r Combine like terms: -3r + 5r = 2r -22 + 2r = -16 + -5r + 5r Combine like terms: -5r + 5r = 0 -22 + 2r = -16 + 0 -22 + 2r = -16 Add '22' to each side of the equation. -22 + 22 + 2r = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 2r = -16 + 22 2r = -16 + 22 Combine like terms: -16 + 22 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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