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Simplifying -22 + 5r = 3(r + -8) Reorder the terms: -22 + 5r = 3(-8 + r) -22 + 5r = (-8 * 3 + r * 3) -22 + 5r = (-24 + 3r) Solving -22 + 5r = -24 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -22 + 5r + -3r = -24 + 3r + -3r Combine like terms: 5r + -3r = 2r -22 + 2r = -24 + 3r + -3r Combine like terms: 3r + -3r = 0 -22 + 2r = -24 + 0 -22 + 2r = -24 Add '22' to each side of the equation. -22 + 22 + 2r = -24 + 22 Combine like terms: -22 + 22 = 0 0 + 2r = -24 + 22 2r = -24 + 22 Combine like terms: -24 + 22 = -2 2r = -2 Divide each side by '2'. r = -1 Simplifying r = -1
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